DOUBLE EAGLE PETROLEUM & MINING CO
SC 13D, 1998-12-08
CRUDE PETROLEUM & NATURAL GAS
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                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                SCHEDULE 13D
                    Under the Securities Exchange Act of 1934
                               (Amendment No.  )*
                                          ------

                      DOUBLE EAGLE PETROLEUM AND MINING CO.
- -------------------------------------------------------------------------------
                                (Name of Issuer)

                           $.10 Par Value Common Stock
- --------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                   258570 20 9
          -----------------------------------------------------
                                 (CUSIP Number)

     
                     Thomas J. Vessels and Tina H. Vessels
                               180 Marion Street
                                Denver, CO 80218
                                 (303) 778-6790
- --------------------------------------------------------------------------------
(Name,  Address and Telephone Number of Person Authorized to Receive Notices and
Communications)

                                November 25, 1998
          -------------------------------------------------------------
             (Date of Event which Requires Filing of this Statement)

If the filing person has previously  filed a statement on Schedule 13G to report
the  acquisition  which is the subject of this  Schedule 13D, and is filing this
schedule because of Rule 13d-l(b)(3) or (4), check the following box [ ].

Check the following box if a fee is being paid with the statement [ ]. (A fee is
not required only if the reporting person:  (1) has a previous statement on file
reporting  beneficial  ownership  of more  than  five  percent  of the  class of
securities  described  in Item 1;  and (2) has  filed  no  amendment  subsequent
thereto reporting  beneficial  ownership of five percent or less of such class.)
(See Rule 13d-7.)


Note: Six copies of this statement, including all exhibits, should be filed with
the  Commission.  See Rule  13a-l(a) for other  parties to whom copies are to be
sent.

*The  remainder of this cover page shall be filled out for a reporting  person's
initial filing on this form with respect to the subject class of securities, and
for  any  subsequent   amendment   containing   information  which  would  alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the  Securities  Exchange  Act of
1934 ("Act") or otherwise  subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the Notes)

<PAGE>


                                   SCHEDULE 13D

CUSIP No.  258570 20 9                          
          -------------                            
- --------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON
     S.S. OR l.R.S. IDENTIFICATION NO. OF ABOVE PERSON

     Thomas J. Vessels  ###-##-####
- --------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                (a) [X]
                                                                      (b) [ ]
- --------------------------------------------------------------------------------
3    SEC USE ONLY
- --------------------------------------------------------------------------------
4    SOURCE OF FUNDS*

     PF
- --------------------------------------------------------------------------------
5    CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO   [ ]
     ITEMS 2(d) or 2(e)

- --------------------------------------------------------------------------------
6    CITIZENSHIP OR PLACE OF ORGANIZATION
     
     USA
- --------------------------------------------------------------------------------
7    SOLE VOTING POWER
- --------------------------------------------------------------------------------
  NUMBER OF   |    |     SOLE VOTING POWER
   SHARES     |    |     186,000          (1)
BENEFICIALLY  |-----------------------------------------------------------------
  OWNED BY    |    |     SHARED VOTING POWER
    EACH      |    |     -0-     
  REPORTING   |-----------------------------------------------------------------
    WITH      |    |     SOLE DISPOSITIVE POWER
              |    |     186,000          (1)
              |-----------------------------------------------------------------
              |    |     SHARED DIPOSITIVE POWER
              |    |     -0-
- --------------------------------------------------------------------------------
11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
     
     186,000              
- --------------------------------------------------------------------------------
12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW 11 EXCLUDES CERTAIN SHARES*   [ ]
- --------------------------------------------------------------------------------
13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) APPROXIMATELY  

     7.9% (2)
- --------------------------------------------------------------------------------
14   TYPE OF REPORTING PERSON*
              
     IN
- --------------------------------------------------------------------------------

- --------

1    Includes  warrants to purchase 75,000 shares and options to purchase 36,000
     shares of common stock.

2    Includes shares beneficially owned by spouse.

- --------------------------------------------------------------------------------
                      *SEE INSTRUCTIONS BEFORE FILLING OUT!
          INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
       (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.
- --------------------------------------------------------------------------------

<PAGE>
   

                                   SCHEDULE 13D

CUSIP No.  258570 20 9                          
          -------------                            
- --------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON
     S.S. OR l.R.S. IDENTIFICATION NO. OF ABOVE PERSON

     Tina H. Vessels  ###-##-####
- --------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*                (a) [X]
                                                                      (b) [ ]
- --------------------------------------------------------------------------------
3    SEC USE ONLY
- --------------------------------------------------------------------------------
4    SOURCE OF FUNDS*

     PF
- --------------------------------------------------------------------------------
5    CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO   [ ]
     ITEMS 2(d) or 2(e)

- --------------------------------------------------------------------------------
6    CITIZENSHIP OR PLACE OF ORGANIZATION
     
     USA
- --------------------------------------------------------------------------------
7    SOLE VOTING POWER
- --------------------------------------------------------------------------------
  NUMBER OF   |    |     SOLE VOTING POWER
   SHARES     |    |     150,000          (3)
BENEFICIALLY  |-----------------------------------------------------------------
  OWNED BY    |    |     SHARED VOTING POWER
    EACH      |    |     -0-     
  REPORTING   |-----------------------------------------------------------------
    WITH      |    |     SOLE DISPOSITIVE POWER
              |    |     150,000          (3)
              |-----------------------------------------------------------------
              |    |     SHARED DIPOSITIVE POWER
              |    |     -0-
- --------------------------------------------------------------------------------
11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
     
     150,000              
- --------------------------------------------------------------------------------
12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW 11 EXCLUDES CERTAIN SHARES*   [ ]
- --------------------------------------------------------------------------------
13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) APPROXIMATELY  

     7.9% (4)
- --------------------------------------------------------------------------------
14   TYPE OF REPORTING PERSON*
              
     IN
- --------------------------------------------------------------------------------

- ----------

3    Includes warrants to purchase 75,000 shares of common stock.

4    Includes shares beneficially owned by sopuse.

- --------------------------------------------------------------------------------
                      *SEE INSTRUCTIONS BEFORE FILLING OUT!
          INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
       (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.
- --------------------------------------------------------------------------------

<PAGE>


Item 1.  Security and Issuer.

     (a) Name and Address of Principal Executive Offices of Issuer:

         Double Eagle Petroleum And Mining Co.
         777 Overland Trail (P.O. Box 786)
         Casper, WY 82601

     (b) Title and Class of Equity Securities: $.10 Par Value Common Stock
 
Item 2.   Identity and Background.

     (a)  Name of Person Filing:

          Thomas J. Vessels
          Tina H. Vessels

     (b)  Residence Address:

          180 Marion St.
          Denver, CO  80218

     (c)  Present Principal Occupation:

          Private oil and gas investments
          c/o Tundra Resources LLC
          1610 Wynkoop St., Suite 100
          Denver, CO  80202

     (d)  Criminal Proceedings:

          During the last five years neither reporting person has been convicted
          in any criminal proceeding.

     (e)  Civil Proceedings:

          During the last five years neither  reporting person has been party to
          any civil proceeding of a judicial or administrative body of competent
          jurisdiction  as a result of which such person would have been subject
          to any judgment,  decree or final order enjoining future violations of
          or  prohibiting  or mandating  activities  subject to Federal or State
          securities laws finding any violation with respect to such laws.

     (f)  Citizenship: U.S.

Item 3.   Source and Amount of Funds or Other Consideration.

          On November 25, 1998, each reporting person purchased 150,000 units at
          $1.375  per  unit  from  Issuer   pursuant  to  a   Subscription   and
          Registration  Rights Agreement.  The  consideration  paid consisted of
          personal funds of reporting  persons.  Each unit consists of one share
          of Issuer's  $.10 par value  common  stock and one Warrant to purchase
          one share at $1.375 per share.  The  warrants  are  exercisable  on or
          before October 16, 2003 and are subject to redemption by Issuer on and
          after April 26, 2001.  Contemporaneously,  Thomas J.  Vessels  entered
          into a Consulting Agreement with Issuer and as consideration  therefor
          Issuer  granted  Mr.  Vessels  options to  purchase  36,000  shares of
          Issuer's  $.10 par  value  common  stock at $1.375  exercisable  on or
          before October 16, 2001.

<PAGE>


Item 4.   Purpose of the Transaction.

          Reporting  persons  have  acquired  the  securities  covered  by  this
          Schedule for investment purposes. They have no plans or proposals that
          relate to or would  result in any of the  circumstances  described  in
          subparagraphs  (a) to (j) of Item 4 of  Schedule  13D  except (i) with
          respect  to Item  4(a),  the  consulting  agreement  with Mr.  Vessels
          contemplates that if renewed beyond the initial term (expiring January
          31,  2000)  Mr.   Vessels   shall  be  entitled  to  such   additional
          compensation   in  the  form  of  options,   shares,   cash  or  other
          compensation as shall be mutually agreed to with Issuer, and (ii) with
          respect to Item 4(d),  Mr.  Vessels  has been  nominated  to stand for
          election to Issuer's board of directors at the shareholder  meeting to
          be held on January 20, 1999.
 
Item 5.   Interests in Securities of the Issuer.

          (a)  See Cover Page. Items 11 and 13 incorporated by Reference.

          (b)  See Cover Page. Items 7, 8, 9 and 10 incorporated by Reference.

          (c)  Recent Transactions: N/A

          (d)  Rights with Respect to Dividends or Sales Proceeds: N/A

          (e)  Date of Cessation of Five Percent Beneficial Ownership: N/A

Item 6.   Contracts, Arrangements, Understandings or Relationships with  Respect
          to Securities of the Issuer.

          Other  than as  described  in this  Schedule,  there  is no  contract,
          arrangement,  understanding  or  relationship  between  any  reporting
          person or between such person and any other person with respect to the
          securities of the Issuer.

Item 7.   Material to be Filed as Exhibits.

          (a)  Subscription and Registration  Rights Agreement between Thomas J.
               Vessels and Double Eagle Petroleum And Mining Co.
                
          (b)  Subscription  and Registration  Rights Agreement  between Tina H.
               Vessels and Double Eagle Petroleum And Mining Co.
                 
          (c)  Stock  Warrant  Agreement  between  Thomas J.  Vessels and Double
               Eagle Petroleum And Mining Co.
                
          (d)  Stock Warrant  Agreement between Tina H. Vessels and Double Eagle
               Petroleum And Mining Co.
                
          (e)  Consulting  Agreement  between Thomas J. Vessels and Double Eagle
               Petroleum And Mining Co.
               
          (f)  Stock Option Agreement  between Double Eagle Petroleum And Mining
               Co. and Thomas J. Vessels.

     After  reasonable  inquiry and to the best of my  knowledge  and belief,  I
certify that the information  set forth in this statement is true,  complete and
correct.


Dated:  December 7, 1998.

                                                 By: /s/ THOMAS J. VESSELS
                                                    ----------------------------
                                                    Thomas J. Vessels

Dated:  December 7, 1998.

                                                 By: /s/  TINA H. VESSELS
                                                    ----------------------------
                                                    Tina H. Vessels
 

Attention:     Intentional misstatements or omissions of fact constitute Federal
               criminal violations (See 18 U.S.C. 1001).

   




                 SUBSCRIPTION AND REGISTRATION RIGHTS AGREEMENT
                               (Thomas J. Vessels)

Double Eagle Petroleum And Mining Co.
777 Overland Trail
Casper, WY 82602

Gentlemen and Ladies:

     The undersigned  desires to invest in Double Eagle Petroleum And Mining Co.
(the "Company") on the terms and conditions  described in this  Subscription And
Registration  Rights Agreement (the "Subscription  Agreement") and the Company's
letter dated  November 24, 1998 (the  "Company  Letter").  Pursuant to the terms
described in the Company Letter and this Subscription Agreement,  the Company is
offering to subscribers a minimum of $206,250 and a maximum of $515,625 of units
(the  "Units")  at a price of $1.375 per Unit (the "Unit  Offering").  Each Unit
consists of one share of the Company's $.001 par value common stock (the "Common
Stock")  and one Warrant to  purchase  one share of Common  Stock for $1.375 per
share until October 16, 2003. The form of Warrant  Agreement with respect to the
Warrants  is  attached  to and  made a part of this  Subscription  Agreement  as
Exhibit A. The Units,  including the Common Stock and the Warrants  constituting
the Units,  and the Common  Stock  issuable  upon the  exercise of the  Warrants
included in the Units are referred to collectively as the "Securities".

1.   Subscription

     Subject  to and in  accordance  with  the  terms  and  conditions  of  this
Subscription Agreement,  the undersigned hereby offers to purchase 75,000 Units.
The  undersigned  hereby delivers to the Company the full purchase price for the
subscription  for the  Units  in the  form of a check  or wire  transfer  to the
Company. The undersigned understands and agrees that this Subscription Agreement
constitutes  the  binding  obligation  of the  undersigned  to deliver  the full
purchase  price to the Company for the portion of the  subscription  accepted by
the  Company.  Promptly  after  receipt  of  this  Subscription  Agreement,  the
undersigned will be notified  promptly by the Company whether the  undersigned's
subscription has been accepted.

2.   Representations And Warranties Of The Undersigned

     The  undersigned  hereby  represents  and warrants to, and agrees with, the
Company as follows:

     (a)  (i)  the  undersigned  can  bear  the  economic  risk  of  losing  the
          undersigned's entire investment;

          (ii)  the  undersigned  is or will be  acquiring  the  Securities  for
          investment purposes only and the Securities the undersigned is or will
          be acquiring will be held by the undersigned without sale, transfer or
          other  disposition for an indefinite period unless the transfer of the
          Securities   subsequently  is  registered   under  the  U.S.   federal
          securities laws or unless exemptions from registration are available;

          (iii) the  undersigned's  overall  commitments to investments that are
          not readily  marketable is not  disproportionate  to the undersigned's
          net worth and the undersigned's  investment in the Securities will not
          cause such overall commitments to become excessive;

          (iv)  the   undersigned's   financial   condition  is  such  that  the
          undersigned is under no present or contemplated future need to dispose
          of  any  portion  of  the   Securities  to  satisfy  any  existing  or
          contemplated undertaking, need or indebtedness;

          (v)  the   undersigned   has  adequate  means  of  providing  for  the
          undersigned's current needs and personal contingencies and has no need
          for liquidity in the undersigned's investment in the Securities; and

          (vi) the  undersigned  has  sufficient  knowledge  and  experience  in
          business  and  financial  matters to evaluate  and has  evaluated  the
          merits and risks of this investment.

     (b) The address set forth below on the signature page of this  Subscription
Agreement the undersigned's true and correct residence,  and the undersigned has
no present intention of becoming a resident of any other state or jurisdiction.

<PAGE>


     (c)  The  undersigned  confirms  that  all  documents,  records  and  books
pertaining to an investment in the  Securities  that have been  requested by the
undersigned  have been made available or delivered to the  undersigned.  Without
limiting the foregoing,  the undersigned has received and reviewed the Company's
Annual  Report on Form 10-KSB for the year ended  August 31, 1997 and  Quarterly
Reports  on Form  10-QSB  for each of the  quarters  ended  November  30,  1997,
February 28, 1998 and May 31, 1998,  and the other  documents  included with the
Company  Letter,  and the  undersigned  has had the  opportunity  to discuss the
acquisition of the Securities with the Company, and the undersigned has obtained
or been  given  access  to all  information  concerning  the  Company  that  the
undersigned has requested.  As a result of its review of the Company,  including
the  review  of the  materials  provided  to the  undersigned,  the  undersigned
understands,  among  other  things,  the  following:  the  Company  has  limited
financial resources,  has incurred negative cash flow, and has not operated at a
profit; and the Company has not concurrently, and may not in the future, receive
additional  investment funds. The undersigned further represents the undersigned
is cognizant of the operations,  financial  condition and  capitalization of the
Company;  is  cognizant  of the use of  proceeds  from this  financing,  and has
available  full  information  concerning  the Company's  affairs to evaluate the
merits and risks of the investment in the Securities.

     (d) The  undersigned  has had the  opportunity  to ask  questions  of,  and
receive  answers from, the Company  concerning the terms of an investment in the
Securities  and to  receive  additional  information  necessary  to  verify  the
accuracy of the information delivered to the undersigned.

     (e) The undersigned  understands that the Securities have not been, and the
Warrant  Shares  issuable  upon  the  exercise  of the  Warrants,  will  not be,
registered under the U.S. Securities Act of 1933, as amended (the "Act"), or any
state  securities laws in reliance on an exemption for private  offerings and no
U.S.  federal or state  agency has made any finding or  determination  as to the
fairness of this investment or any recommendation or endorsement of the offering
of the Securities.

     (f) The Securities for which the undersigned hereby subscribes are being or
will be acquired solely for the undersigned's own account,  for investment,  and
is not  being  purchased  with  a  view  to or  for  the  resale,  distribution,
subdivision or  fractionalization  thereof;  the undersigned has no agreement or
arrangement for any such resale, distribution,  subdivision or fractionalization
thereof.

     (g) The undersigned  acknowledges  that, in making the decision to purchase
the Securities, it has relied solely upon independent investigations made by it.

     (h) The undersigned  has the full right,  power and authority to enter this
Subscription  Agreement and to carry out and consummate the transactions herein.
The Subscription  Agreement  constitutes the legal, valid and binding obligation
of the undersigned.

     (i) The  Undersigned  represents  that an investment in the Securities is a
suitable investment for the Undersigned.

     (j) The  Undersigned is not an associate  person or affiliate of any member
firm of the National Association of Securities Dealers, Inc.

     (k) The  undersigned  acknowledges  and is aware that the following  legend
will be imprinted on the Securities subscribed to by the undersigned:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

     (l) The undersigned acknowledges and is aware of the following, in addition
to other information included in the information provided to the undersigned:

          (i) The  Securities  are a speculative  investment  and involve a high
          degree of risk of loss by the undersigned of the  undersigned's  total
          investment.

<PAGE>


          (ii) There are substantial  restrictions on the transferability of the
          Securities.   The   Securities  can  not  be   transferred,   pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the Act, or an exemption from such registration is available and
          established to the satisfaction of the Company;  except as provided in
          Section 3 below,  investors  in the Company  have no rights to require
          that any transfer of the Securities be registered under the Act; there
          will be no public market for the Warrants and a limited  public market
          for the Company's Common Stock;  and accordingly,  the undersigned may
          have to hold the Securities  indefinitely;  and it may not be possible
          for the undersigned to liquidate the  undersigned's  investment in the
          Company.

     (m) The undersigned understands and agrees that the Company is relying upon
the  accuracy,  completeness,  and truth of the  undersigned's  representations,
warranties,  agreements,  and  certifications  contained  in  this  Subscription
Agreement,  in determining the  undersigned's  suitability as an investor in the
Company and in establishing  compliance with federal and state  securities laws.
The  undersigned  understands  that any  incomplete,  inaccurate,  or untruthful
response,  or the  breach  of  the  undersigned's  representations,  warranties,
agreements, or certifications,  may result in the undersigned or the Company, or
both,  being in violation of federal or state  securities  laws, and any person,
including the Company,  who suffers  damage as a result may have a claim against
the  undersigned  for  damages.  The  undersigned  also  acknowledges  that  the
undersigned is indemnifying the Company and others for these and other losses in
accordance with Section 4 of this Subscription Agreement.

     The foregoing  representations  and  warranties are true and accurate as of
the date hereof and shall  survive the delivery of the  subscription  amount and
the completed Subscription Packet.

3.   Registration Rights

     3.1 The Company  will,  no later than 120 days after each date on which the
Company  receives  written notice from the holders (the "Holders") of at least a
majority of the shares of Common Stock and Warrants or Warrant  Shares issued in
connection with the Units Offering that are then outstanding,  together with the
payment by the Holders to the Company of $10,000  for  registration  expenses in
accordance  with  Section  3.4  below,  file with the  Securities  And  Exchange
Commission (the "SEC") a registration  statement on Form S-3, Form SB-2 or other
appropriate  Form under the Securities Act of 1933, as amended (the "1933 Act"),
covering the Holders'  sale in the open market of the Common Stock issued in the
Units  Offering  and of the Warrant  Shares  issuable  upon the  exercise of the
Warrants  (collectively,   the  "Registrable  Securities").   The  Company  will
undertake due diligence to cause the registration  statement to become effective
with the SEC as soon as possible after its filing.

     3.2 As to any registration  statement,  the Company's obligations contained
in this  Section 3 shall be  conditioned  upon timely  receipt by the Company in
writing  of  information  as to the  terms of the  contemplated  transfer  to be
registered furnished by and on behalf of the Holders, and such other information
as the Company  reasonably may require from the Holders or any  underwriter  for
any Registrable  Securities for inclusion in the  registration  statement.  Such
information shall be provided to the Company in writing within 30 days after the
request for that information by the Company.

     3.3 In connection with any registration undertaken by the Company on behalf
of the Holders pursuant to this Section 3, the Company shall (a) furnish to each
Holder  such  numbers  of copies of a summary  prospectus  or other  prospectus,
including  a  preliminary  prospectus  or any  amendment  or  supplement  to any
prospectus,  in conformity with the requirements of the 1933 Act, and such other
documents,  as such Holder may  reasonably  request in order to  facilitate  the
public sale or other  disposition of the  Registrable  Securities  owned by such
Holder;  and (b) notify each Holder of  Registrable  Securities  covered by such
registration  statement,  at any time when a prospectus relating thereto covered
by such regisration statement is required to be delivered under the 1933 Act, of
the  happening  of any event of which it has  knowledge as a result of which the
prospectus included in such registration  statement, as then in effect, includes
an  untrue  statement  of a  material  fact or omits to  state a  material  fact
required to be stated  therein or necessary to make the  statements  therein not
misleading in the light of the circumstances then existing.

<PAGE>


     3.4 All  registration  expenses  incurred by the Company in connection with
any  registration,  qualification  or  compliance  pursuant  to this  Section 3,
including reasonable printing expenses,  fees and disbursements of the Company's
counsel,  and  registration  and  filing  fees  relating  to  the  sale  of  the
Registrable Securities to be registered on behalf of the Holders pursuant to any
registration  statement  required  to be filed by the  Company  on behalf of the
Holders  pursuant to this Section 3, and  expenses,  fees and  disbursements  in
connection with the registration or qualification of the sale of the Registrable
Securities  in various  states  pursuant  to  Section  3.6 shall be borne by the
Holders.  A check in the amount of $10,000 as prepayment of these expenses shall
be delivered by the Holders to the Company in accordance with Section 3.1 above.
Any additional  costs in excess of the $10,000 will be billed to and paid by the
Holders,  jointly  and  severally,  as  incurred  by the  Company.  All  selling
expenses,  including  commissions,  allocable  to the sale of the  shares of the
Registrable Securities registered on behalf of the Holders shall be borne by the
Holders.

     3.5 In the case of a registration,  qualification or compliance effected by
the  Company on behalf of the Holders  pursuant  to this  Section 3, the Company
shall  keep  the  Holders  advised  in  writing  as to the  initiation  of  such
registration, qualification, and compliance and as to the completion thereof. At
the Holders' expense, the Company will keep such registration,  qualification or
compliance  effective until the later to occur of (a) one year after the date on
which the registration  statement  becomes  effective with the SEC, or (b) until
the Holders  have  completed  the  distribution  described  in the  registration
statement  relating thereto,  or (c) the Registrable  Securities become eligible
for sale without  restriction under Rule 144(k) under the 1933 Act or another or
successor provision.  The Company and the undersigned acknowledge and agree that
the  Registrable  Securities  will not be eligible for sale under Rule 144(k) at
times that the undersigned is an affiliate of the Company.

     3.6 In the case of a registration,  qualification or compliance effected by
the  Company on behalf of the Holders  pursuant  to this  Section 3, the Company
shall,  at the expense of the  Holders,  take such  action as may be  reasonably
necessary  to register  or qualify  the sale by the  Holders of the  Registrable
Securities  under the securities acts or blue sky laws of such  jurisdictions as
the Holders may  reasonably  request and to do any and all other acts and things
which may be  necessary  or  advisable  to enable the Holders to  complete  such
proposed sale or other distribution by the Holders of Registrable  Securities in
any such jurisdiction;  provided however,  that in no event shall the Company be
obligated  to register or qualify  under the blue sky laws of any state in which
the Common Stock of the Company  currently is not qualified for resale  pursuant
to a currently effective  registration or an exemption from registration,  or be
obligated to register or qualify the securities in any jurisdiction  which would
require the Company to qualify to do business.  All expenses,  fees and costs of
such  registration or  qualification  shall be borne by the Holders and shall be
payable in accordance with Section 3.4.

     3.7 The Company will  indemnify and hold  harmless the Holders  against any
loss,  claim,  damage or liability  (or action in respect  thereof) to which the
Holders may become  subject,  under the 1933 Act, or  otherwise,  insofar as any
such loss,  claim,  damage or liability (or action in respect thereof) is caused
by any untrue  statement  or alleged  untrue  statement  of any  material  facts
contained  in  the  registration  statement,  any  prospectus  contained  in the
registration statement, or any amendment or supplement thereto, or arises out of
or is based upon the  omission or alleged  omission to state  therein a material
fact  required to be stated  therein or  necessary to make the  statements  made
therein  not  misleading.  Notwithstanding  the  foregoing  provisions  of  this
paragraph,  the  Company  will not be liable in any such case to the extent that
any such loss,  claim,  damage,  expense or liability  arises out of or is based
upon an untrue  statement  or alleged  untrue  statement  or omission or alleged
omission so made in conformity with information  furnished by the Holders or any
agent or other representative of the Holders.

     3.8 The  Holders  will  indemnify  and hold  harmless  the  Company and any
underwriter  (as defined in the 1933 Act) for the Company  and each  person,  if
any,  who  controls  the Company or such  underwriter  against any loss,  claim,
damage or liability (or action in respect  thereof) to which the Company or such
underwriter  or  controlling  person may become  subject,  under the 1933 Act or
otherwise,  insofar as any such loss,  claim,  damage or liability (or action in
respect  thereof) is caused by any untrue  statement or alleged untrue statement
or omission or alleged omission made in conformity with information furnished by
the  Holders  or any  agent  or other  representative  of the  Holders  or other
representative of the Holders for use in the registration statement.

<PAGE>

4.   Indemnification

     The undersigned  acknowledges that the undersigned  understands the meaning
and legal  consequences  of the  representations,  warranties,  agreements,  and
certifications  contained above, and the undersigned  hereby agrees to indemnify
and hold  harmless  each of the  Company,  its  managers,  officers,  directors,
representatives  and  agents  from and  against  any and all  loss,  damage,  or
liability  due to or arising  out of a breach of any  representation,  warranty,
agreement,  or  certification,  or  the  inaccuracy  of  any  statement,  of the
undersigned  contained  in this  Subscription  Agreement  or any other  document
submitted by the undersigned in connection with the  undersigned's  subscription
for the Securities. The foregoing notwithstanding,  nothing in this Subscription
Agreement,   including   the   representations,   warranties,   agreements   and
certifications  contained  above,  shall be deemed to constitute a waiver of any
rights that the  undersigned  may have under the 1933 Act and other  federal and
state securities laws.

5.   Miscellaneous

     (a) This Subscription Agreement may be executed in one or more counterparts
all of which taken together shall constitute a single instrument.

     (b) This Subscription  Agreement shall be governed and construed as binding
upon the parties hereto,  and their respective  successors,  and no other person
shall  have any  right  or  obligation  hereunder.  This  subscription  shall be
irrevocable,  and  may  not be  assigned  by  the  undersigned.  Subject  to the
foregoing,  this  Subscription  Agreement shall be binding upon and inure to the
benefit  of  the  heirs,  executors,   administrators,   legal  representatives,
successors and assigns of the undersigned.

     (c) This  Subscription  Agreement  constitutes the entire agreement between
the  undersigned  and the Company  with  respect to the  subject  matter of this
Subscription  Agreement and supersedes all prior and contemporaneous  agreements
between the  undersigned  and the Company with respect to the subject  matter of
this Subscription Agreement.

     (d)  This  Subscription   Agreement  will  be  construed  and  enforced  in
accordance  with and governed by the laws of the State of  Colorado,  except for
matters arising under the Act,  without  reference to principles of conflicts of
law.

     With such full  understandings and  acknowledgements,  the undersigned does
hereby affirm the  undersigned's  subscription to the purchase of the Securities
being  offered by the Company as  described  herein and in the  Memorandum.  The
undersigned does further acknowledge the undersigned's understandings of all the
terms and  provisions of this  Subscription  Agreement and agrees to be bound by
all of the terms and conditions of this Subscription Agreement.

<PAGE>



                         SIGNATURE PAGE FOR INDIVIDUALS

Please complete the following:

Date:

Thomas J. Vessels
Exact Name in Which Title is to be Held


Signature                                    Signature of Co-Owner


Print Name                                   Print Name of Co-Owner

Social Security Number or Tax                Social Security Number or Tax

Address

City, State, Postal or Zip Code, Country

STATE OF                            )
                                    )       ss.
COUNTY OF                           )

     On this  _____  day of  __________,  1998,  before me  personally  appeared
___________________,  who  being  duly  sworn  by me,  acknowledged  that  (s)he
executed the foregoing instrument for the uses and purposes therein stated.

     My commission expires:



     Notary Public                            Address

*    If the  Securities are to be held in joint tenancy or as tenants in common,
     both  persons  must sign above and please  indicate the manner in which the
     Securities are to be held:

                   _____ Tenants in Common _____ Joint Tenants

     This  subscription  is accepted by Double Eagle Petroleum And Mining Co. on
     this _____ day of __________, 1998.
                                                     

                                         DOUBLE EAGLE PETROLEUM
                                         AND MINING CO.


                                         By:
                                            ------------------------------------
                                            Stephen H. Hollis, President


<PAGE>


                           SIGNATURE PAGE FOR ENTITIES

Please complete the following if the subscriber is an entity:

Date:


Printed Name of Entity

By:
   Signature


Printed Name and Title


Address


City, State, Postal or Zip Code, Country


Tax Identification Number

STATE OF                            )
                                    )       ss.
COUNTY OF                           )

     On this  _____  day of  __________,  1998,  before me  personally  appeared
___________________,  who  being  duly  sworn  by me,  acknowledged  that  (s)he
executed the foregoing instrument in the name of said entity, that (s)he had the
authority to execute the same,  and that (s)he  executed the same as the act and
deed of said entity for the uses and purposes therein stated.

     My commission expires:



     Notary Public                                  Address


     This  subscription  is accepted by Double Eagle Petroleum And Mining Co. on
     this _____ day of __________, 1998.

                                              DOUBLE EAGLE PETROLEUM
                                              AND MINING CO.

                                              By:
                                                 -------------------------------
                                                 Stephen H. Hollis, President








                 SUBSCRIPTION AND REGISTRATION RIGHTS AGREEMENT
                                (Tina H. Vessels)

Double Eagle Petroleum And Mining Co.
777 Overland Trail
Casper, WY 82602

Gentlemen and Ladies:

     The undersigned  desires to invest in Double Eagle Petroleum And Mining Co.
(the "Company") on the terms and conditions  described in this  Subscription And
Registration  Rights Agreement (the "Subscription  Agreement") and the Company's
letter dated  November 24, 1998 (the  "Company  Letter").  Pursuant to the terms
described in the Company Letter and this Subscription Agreement,  the Company is
offering to subscribers a minimum of $206,250 and a maximum of $515,625 of units
(the  "Units")  at a price of $1.375 per Unit (the "Unit  Offering").  Each Unit
consists of one share of the Company's $.001 par value common stock (the "Common
Stock")  and one Warrant to  purchase  one share of Common  Stock for $1.375 per
share until October 16, 2003. The form of Warrant  Agreement with respect to the
Warrants  is  attached  to and  made a part of this  Subscription  Agreement  as
Exhibit A. The Units,  including the Common Stock and the Warrants  constituting
the Units,  and the Common  Stock  issuable  upon the  exercise of the  Warrants
included in the Units are referred to collectively as the "Securities".

1.   Subscription

     Subject  to and in  accordance  with  the  terms  and  conditions  of  this
Subscription Agreement,  the undersigned hereby offers to purchase 75,000 Units.
The  undersigned  hereby delivers to the Company the full purchase price for the
subscription  for the  Units  in the  form of a check  or wire  transfer  to the
Company. The undersigned understands and agrees that this Subscription Agreement
constitutes  the  binding  obligation  of the  undersigned  to deliver  the full
purchase  price to the Company for the portion of the  subscription  accepted by
the  Company.  Promptly  after  receipt  of  this  Subscription  Agreement,  the
undersigned will be notified  promptly by the Company whether the  undersigned's
subscription has been accepted.

2.   Representations And Warranties Of The Undersigned

     The  undersigned  hereby  represents  and warrants to, and agrees with, the
Company as follows:

     (a)  (i)  the  undersigned  can  bear  the  economic  risk  of  losing  the
          undersigned's entire investment;

          (ii)  the  undersigned  is or will be  acquiring  the  Securities  for
          investment purposes only and the Securities the undersigned is or will
          be acquiring will be held by the undersigned without sale, transfer or
          other  disposition for an indefinite period unless the transfer of the
          Securities   subsequently  is  registered   under  the  U.S.   federal
          securities laws or unless exemptions from registration are available;

          (iii) the  undersigned's  overall  commitments to investments that are
          not readily  marketable is not  disproportionate  to the undersigned's
          net worth and the undersigned's  investment in the Securities will not
          cause such overall commitments to become excessive;

          (iv)  the   undersigned's   financial   condition  is  such  that  the
          undersigned is under no present or contemplated future need to dispose
          of  any  portion  of  the   Securities  to  satisfy  any  existing  or
          contemplated undertaking, need or indebtedness;

          (v)  the   undersigned   has  adequate  means  of  providing  for  the
          undersigned's current needs and personal contingencies and has no need
          for liquidity in the undersigned's investment in the Securities; and

          (vi) the  undersigned  has  sufficient  knowledge  and  experience  in
          business  and  financial  matters to evaluate  and has  evaluated  the
          merits and risks of this investment.

     (b) The address set forth below on the signature page of this  Subscription
Agreement the undersigned's true and correct residence,  and the undersigned has
no present intention of becoming a resident of any other state or jurisdiction.

<PAGE>


     (c)  The  undersigned  confirms  that  all  documents,  records  and  books
pertaining to an investment in the  Securities  that have been  requested by the
undersigned  have been made available or delivered to the  undersigned.  Without
limiting the foregoing,  the undersigned has received and reviewed the Company's
Annual  Report on Form 10-KSB for the year ended  August 31, 1997 and  Quarterly
Reports  on Form  10-QSB  for each of the  quarters  ended  November  30,  1997,
February 28, 1998 and May 31, 1998,  and the other  documents  included with the
Company  Letter,  and the  undersigned  has had the  opportunity  to discuss the
acquisition of the Securities with the Company, and the undersigned has obtained
or been  given  access  to all  information  concerning  the  Company  that  the
undersigned has requested.  As a result of its review of the Company,  including
the  review  of the  materials  provided  to the  undersigned,  the  undersigned
understands,  among  other  things,  the  following:  the  Company  has  limited
financial resources,  has incurred negative cash flow, and has not operated at a
profit; and the Company has not concurrently, and may not in the future, receive
additional  investment funds. The undersigned further represents the undersigned
is cognizant of the operations,  financial  condition and  capitalization of the
Company;  is  cognizant  of the use of  proceeds  from this  financing,  and has
available  full  information  concerning  the Company's  affairs to evaluate the
merits and risks of the investment in the Securities.

     (d) The  undersigned  has had the  opportunity  to ask  questions  of,  and
receive  answers from, the Company  concerning the terms of an investment in the
Securities  and to  receive  additional  information  necessary  to  verify  the
accuracy of the information delivered to the undersigned.

     (e) The undersigned  understands that the Securities have not been, and the
Warrant  Shares  issuable  upon  the  exercise  of the  Warrants,  will  not be,
registered under the U.S. Securities Act of 1933, as amended (the "Act"), or any
state  securities laws in reliance on an exemption for private  offerings and no
U.S.  federal or state  agency has made any finding or  determination  as to the
fairness of this investment or any recommendation or endorsement of the offering
of the Securities.

     (f) The Securities for which the undersigned hereby subscribes are being or
will be acquired solely for the undersigned's own account,  for investment,  and
is not  being  purchased  with  a  view  to or  for  the  resale,  distribution,
subdivision or  fractionalization  thereof;  the undersigned has no agreement or
arrangement for any such resale, distribution,  subdivision or fractionalization
thereof.

     (g) The undersigned  acknowledges  that, in making the decision to purchase
the Securities, it has relied solely upon independent investigations made by it.

     (h) The undersigned  has the full right,  power and authority to enter this
Subscription  Agreement and to carry out and consummate the transactions herein.
The Subscription  Agreement  constitutes the legal, valid and binding obligation
of the undersigned.

     (i) The  Undersigned  represents  that an investment in the Securities is a
suitable investment for the Undersigned.

     (j) The  Undersigned is not an associate  person or affiliate of any member
firm of the National Association of Securities Dealers, Inc.

     (k) The  undersigned  acknowledges  and is aware that the following  legend
will be imprinted on the Securities subscribed to by the undersigned:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

     (l) The undersigned acknowledges and is aware of the following, in addition
to other information included in the information provided to the undersigned:

          (i) The  Securities  are a speculative  investment  and involve a high
          degree of risk of loss by the undersigned of the  undersigned's  total
          investment.

<PAGE>


          (ii) There are substantial  restrictions on the transferability of the
          Securities.   The   Securities  can  not  be   transferred,   pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the Act, or an exemption from such registration is available and
          established to the satisfaction of the Company;  except as provided in
          Section 3 below,  investors  in the Company  have no rights to require
          that any transfer of the Securities be registered under the Act; there
          will be no public market for the Warrants and a limited  public market
          for the Company's Common Stock;  and accordingly,  the undersigned may
          have to hold the Securities  indefinitely;  and it may not be possible
          for the undersigned to liquidate the  undersigned's  investment in the
          Company.

     (m) The undersigned understands and agrees that the Company is relying upon
the  accuracy,  completeness,  and truth of the  undersigned's  representations,
warranties,  agreements,  and  certifications  contained  in  this  Subscription
Agreement,  in determining the  undersigned's  suitability as an investor in the
Company and in establishing  compliance with federal and state  securities laws.
The  undersigned  understands  that any  incomplete,  inaccurate,  or untruthful
response,  or the  breach  of  the  undersigned's  representations,  warranties,
agreements, or certifications,  may result in the undersigned or the Company, or
both,  being in violation of federal or state  securities  laws, and any person,
including the Company,  who suffers  damage as a result may have a claim against
the  undersigned  for  damages.  The  undersigned  also  acknowledges  that  the
undersigned is indemnifying the Company and others for these and other losses in
accordance with Section 4 of this Subscription Agreement.

     The foregoing  representations  and  warranties are true and accurate as of
the date hereof and shall  survive the delivery of the  subscription  amount and
the completed Subscription Packet.

3.   Registration Rights

     3.1 The Company  will,  no later than 120 days after each date on which the
Company  receives  written notice from the holders (the "Holders") of at least a
majority of the shares of Common Stock and Warrants or Warrant  Shares issued in
connection with the Units Offering that are then outstanding,  together with the
payment by the Holders to the Company of $10,000  for  registration  expenses in
accordance  with  Section  3.4  below,  file with the  Securities  And  Exchange
Commission (the "SEC") a registration  statement on Form S-3, Form SB-2 or other
appropriate  Form under the Securities Act of 1933, as amended (the "1933 Act"),
covering the Holders'  sale in the open market of the Common Stock issued in the
Units  Offering  and of the Warrant  Shares  issuable  upon the  exercise of the
Warrants  (collectively,   the  "Registrable  Securities").   The  Company  will
undertake due diligence to cause the registration  statement to become effective
with the SEC as soon as possible after its filing.

     3.2 As to any registration  statement,  the Company's obligations contained
in this  Section 3 shall be  conditioned  upon timely  receipt by the Company in
writing  of  information  as to the  terms of the  contemplated  transfer  to be
registered furnished by and on behalf of the Holders, and such other information
as the Company  reasonably may require from the Holders or any  underwriter  for
any Registrable  Securities for inclusion in the  registration  statement.  Such
information shall be provided to the Company in writing within 30 days after the
request for that information by the Company.

     3.3 In connection with any registration undertaken by the Company on behalf
of the Holders pursuant to this Section 3, the Company shall (a) furnish to each
Holder  such  numbers  of copies of a summary  prospectus  or other  prospectus,
including  a  preliminary  prospectus  or any  amendment  or  supplement  to any
prospectus,  in conformity with the requirements of the 1933 Act, and such other
documents,  as such Holder may  reasonably  request in order to  facilitate  the
public sale or other  disposition of the  Registrable  Securities  owned by such
Holder;  and (b) notify each Holder of  Registrable  Securities  covered by such
registration  statement,  at any time when a prospectus relating thereto covered
by such regisration statement is required to be delivered under the 1933 Act, of
the  happening  of any event of which it has  knowledge as a result of which the
prospectus included in such registration  statement, as then in effect, includes
an  untrue  statement  of a  material  fact or omits to  state a  material  fact
required to be stated  therein or necessary to make the  statements  therein not
misleading in the light of the circumstances then existing.

<PAGE>


     3.4 All  registration  expenses  incurred by the Company in connection with
any  registration,  qualification  or  compliance  pursuant  to this  Section 3,
including reasonable printing expenses,  fees and disbursements of the Company's
counsel,  and  registration  and  filing  fees  relating  to  the  sale  of  the
Registrable Securities to be registered on behalf of the Holders pursuant to any
registration  statement  required  to be filed by the  Company  on behalf of the
Holders  pursuant to this Section 3, and  expenses,  fees and  disbursements  in
connection with the registration or qualification of the sale of the Registrable
Securities  in various  states  pursuant  to  Section  3.6 shall be borne by the
Holders.  A check in the amount of $10,000 as prepayment of these expenses shall
be delivered by the Holders to the Company in accordance with Section 3.1 above.
Any additional  costs in excess of the $10,000 will be billed to and paid by the
Holders,  jointly  and  severally,  as  incurred  by the  Company.  All  selling
expenses,  including  commissions,  allocable  to the sale of the  shares of the
Registrable Securities registered on behalf of the Holders shall be borne by the
Holders.

     3.5 In the case of a registration,  qualification or compliance effected by
the  Company on behalf of the Holders  pursuant  to this  Section 3, the Company
shall  keep  the  Holders  advised  in  writing  as to the  initiation  of  such
registration, qualification, and compliance and as to the completion thereof. At
the Holders' expense, the Company will keep such registration,  qualification or
compliance  effective until the later to occur of (a) one year after the date on
which the registration  statement  becomes  effective with the SEC, or (b) until
the Holders  have  completed  the  distribution  described  in the  registration
statement  relating thereto,  or (c) the Registrable  Securities become eligible
for sale without  restriction under Rule 144(k) under the 1933 Act or another or
successor provision.  The Company and the undersigned acknowledge and agree that
the  Registrable  Securities  will not be eligible for sale under Rule 144(k) at
times that the undersigned is an affiliate of the Company.

     3.6 In the case of a registration,  qualification or compliance effected by
the  Company on behalf of the Holders  pursuant  to this  Section 3, the Company
shall,  at the expense of the  Holders,  take such  action as may be  reasonably
necessary  to register  or qualify  the sale by the  Holders of the  Registrable
Securities  under the securities acts or blue sky laws of such  jurisdictions as
the Holders may  reasonably  request and to do any and all other acts and things
which may be  necessary  or  advisable  to enable the Holders to  complete  such
proposed sale or other distribution by the Holders of Registrable  Securities in
any such jurisdiction;  provided however,  that in no event shall the Company be
obligated  to register or qualify  under the blue sky laws of any state in which
the Common Stock of the Company  currently is not qualified for resale  pursuant
to a currently effective  registration or an exemption from registration,  or be
obligated to register or qualify the securities in any jurisdiction  which would
require the Company to qualify to do business.  All expenses,  fees and costs of
such  registration or  qualification  shall be borne by the Holders and shall be
payable in accordance with Section 3.4.

     3.7 The Company will  indemnify and hold  harmless the Holders  against any
loss,  claim,  damage or liability  (or action in respect  thereof) to which the
Holders may become  subject,  under the 1933 Act, or  otherwise,  insofar as any
such loss,  claim,  damage or liability (or action in respect thereof) is caused
by any untrue  statement  or alleged  untrue  statement  of any  material  facts
contained  in  the  registration  statement,  any  prospectus  contained  in the
registration statement, or any amendment or supplement thereto, or arises out of
or is based upon the  omission or alleged  omission to state  therein a material
fact  required to be stated  therein or  necessary to make the  statements  made
therein  not  misleading.  Notwithstanding  the  foregoing  provisions  of  this
paragraph,  the  Company  will not be liable in any such case to the extent that
any such loss,  claim,  damage,  expense or liability  arises out of or is based
upon an untrue  statement  or alleged  untrue  statement  or omission or alleged
omission so made in conformity with information  furnished by the Holders or any
agent or other representative of the Holders.

     3.8 The  Holders  will  indemnify  and hold  harmless  the  Company and any
underwriter  (as defined in the 1933 Act) for the Company  and each  person,  if
any,  who  controls  the Company or such  underwriter  against any loss,  claim,
damage or liability (or action in respect  thereof) to which the Company or such
underwriter  or  controlling  person may become  subject,  under the 1933 Act or
otherwise,  insofar as any such loss,  claim,  damage or liability (or action in
respect  thereof) is caused by any untrue  statement or alleged untrue statement
or omission or alleged omission made in conformity with information furnished by
the  Holders  or any  agent  or other  representative  of the  Holders  or other
representative of the Holders for use in the registration statement.

<PAGE>


4.   Indemnification

     The undersigned  acknowledges that the undersigned  understands the meaning
and legal  consequences  of the  representations,  warranties,  agreements,  and
certifications  contained above, and the undersigned  hereby agrees to indemnify
and hold  harmless  each of the  Company,  its  managers,  officers,  directors,
representatives  and  agents  from and  against  any and all  loss,  damage,  or
liability  due to or arising  out of a breach of any  representation,  warranty,
agreement,  or  certification,  or  the  inaccuracy  of  any  statement,  of the
undersigned  contained  in this  Subscription  Agreement  or any other  document
submitted by the undersigned in connection with the  undersigned's  subscription
for the Securities. The foregoing notwithstanding,  nothing in this Subscription
Agreement,   including   the   representations,   warranties,   agreements   and
certifications  contained  above,  shall be deemed to constitute a waiver of any
rights that the  undersigned  may have under the 1933 Act and other  federal and
state securities laws.

5.   Miscellaneous

     (a) This Subscription Agreement may be executed in one or more counterparts
all of which taken together shall constitute a single instrument.

     (b) This Subscription  Agreement shall be governed and construed as binding
upon the parties hereto,  and their respective  successors,  and no other person
shall  have any  right  or  obligation  hereunder.  This  subscription  shall be
irrevocable,  and  may  not be  assigned  by  the  undersigned.  Subject  to the
foregoing,  this  Subscription  Agreement shall be binding upon and inure to the
benefit  of  the  heirs,  executors,   administrators,   legal  representatives,
successors and assigns of the undersigned.

     (c) This  Subscription  Agreement  constitutes the entire agreement between
the  undersigned  and the Company  with  respect to the  subject  matter of this
Subscription  Agreement and supersedes all prior and contemporaneous  agreements
between the  undersigned  and the Company with respect to the subject  matter of
this Subscription Agreement.

     (d)  This  Subscription   Agreement  will  be  construed  and  enforced  in
accordance  with and governed by the laws of the State of  Colorado,  except for
matters arising under the Act,  without  reference to principles of conflicts of
law.

     With such full  understandings and  acknowledgements,  the undersigned does
hereby affirm the  undersigned's  subscription to the purchase of the Securities
being  offered by the Company as  described  herein and in the  Memorandum.  The
undersigned does further acknowledge the undersigned's understandings of all the
terms and  provisions of this  Subscription  Agreement and agrees to be bound by
all of the terms and conditions of this Subscription Agreement.


<PAGE>


                         SIGNATURE PAGE FOR INDIVIDUALS

Please complete the following:

Date:

Tina H. Vessels
Exact Name in Which Title is to be Held


Signature                                        Signature of Co-Owner


Print Name                                       Print Name of Co-Owner

Social Security Number or Tax                    Social Security Number or Tax

Address

City, State, Postal or Zip Code, Country

STATE OF                            )
                                    )       ss.
COUNTY OF                           )

     On this  _____  day of  __________,  1998,  before me  personally  appeared
___________________,  who  being  duly  sworn  by me,  acknowledged  that  (s)he
executed the foregoing instrument for the uses and purposes therein stated.

     My commission expires:



Notary Public                                    Address

*    If the  Securities are to be held in joint tenancy or as tenants in common,
     both  persons  must sign above and please  indicate the manner in which the
     Securities are to be held:

                   _____ Tenants in Common _____ Joint Tenants


     This  subscription  is accepted by Double Eagle Petroleum And Mining Co. on
     this _____ day of __________, 1998.
                                                 

     DOUBLE EAGLE PETROLEUM
     AND MINING CO.


                                                 By:
                                                    ----------------------------
                                                    Stephen H. Hollis, President


<PAGE>


                           SIGNATURE PAGE FOR ENTITIES

Please complete the following if the subscriber is an entity:

Date:


Printed Name of Entity

By:
   Signature


Printed Name and Title


Address


City, State, Postal or Zip Code, Country


Tax Identification Number

STATE OF                            )
                                    )       ss.
COUNTY OF                           )

     On this  _____  day of  __________,  1998,  before me  personally  appeared
___________________,  who  being  duly  sworn  by me,  acknowledged  that  (s)he
executed the foregoing instrument in the name of said entity, that (s)he had the
authority to execute the same,  and that (s)he  executed the same as the act and
deed of said entity for the uses and purposes therein stated.

     My commission expires:



     Notary Public                               Address


     This  subscription  is accepted by Double Eagle Petroleum And Mining Co. on
     this _____ day of __________, 1998.

                                                 DOUBLE EAGLE PETROLEUM
                                                 AND MINING CO.

                                                 By:
                                                    ----------------------------
                                                    Stephen H. Hollis, President






THE SECURITIES  REPRESENTED BY THIS DOCUMENT HAVE NOT BEEN  REGISTERED  WITH THE
UNITED STATES SECURITIES AND EXCHANGE  COMMISSION UNDER THE U.S.  SECURITIES ACT
OF 1933, AS AMENDED (THE "1933 ACT"),  AND ARE  "RESTRICTED  SECURITIES" AS THAT
TERM IS  DEFINED  IN RULE 144  UNDER  THE 1933 ACT.  THE  SECURITIES  MAY NOT BE
OFFERED FOR SALE, SOLD OR OTHERWISE  TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE
REGISTRATION  STATEMENT  UNDER THE 1933 ACT, OR PURSUANT  TO AN  EXEMPTION  FROM
REGISTRATION UNDER THE 1933 ACT.

                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                             STOCK WARRANT AGREEMENT


     THIS STOCK WARRANT  AGREEMENT (the "Agreement") is made and entered into as
of the 16th day of October 1998 by and between Double Eagle Petroleum And Mining
Co.,  a  Wyoming  corporation  (the  "Company"),  and  Thomas  J.  Vessels  (the
"Holder").

                                   WITNESSETH:

     WHEREAS,  pursuant to the  Subscription  Agreement dated as of November 24,
1998  between  the Company and Holder  (the  "Subscription  Agreement"),  Holder
agreed to purchase from the Company, and the Company agreed to sell and issue to
the Holder,  a warrant to purchase  shares of the $.01 par value common stock of
the Company ("Common  Stock"),  said warrant to be for the number of shares,  at
the price per share and on the terms set forth in this Agreement; and

     WHEREAS,  the  Holder  desires  to  receive  a  warrant  on the  terms  and
conditions set forth in this Agreement.

     NOW, THEREFORE, the parties agree as follows:

     1. Grant Of Warrant.  The Company hereby grants to the Holder the right and
warrant  (the  "Warrant")  to purchase all or any part of an aggregate of 75,000
shares of the authorized and unissued $.10 par value common stock of the Company
(the "Warrant  Shares")  pursuant to the terms and  conditions set forth in this
Agreement.

     2. Warrant Price.  At any time when shares are to be purchased  pursuant to
the  Warrant,  the purchase  price for each  Warrant  Share shall be $1.375 (the
"Warrant Price"), subject to adjustment as provided in this Agreement.

     3.  Exercise  Period.  The period for the  exercise  of the  Warrant  shall
commence on the date of this Agreement and shall terminate at 5:00 p.m., Denver,
Colorado time on October 16, 2003 unless terminated  earlier as provided in this
Agreement.

     4. Exercise Of Warrant.

          (a) The Warrant may be exercised in whole or in part by  delivering to
the  Treasurer  or  President  of the  Company at the  address of the  Company's
principal   office  (i)  a  Notice  And   Agreement   Of  Exercise  Of  Warrant,
substantially in the form attached hereto as Exhibit A, specifying the number of
Warrant  Shares with  respect to which the Warrant is  exercised,  and (ii) full
payment of the Warrant Price for such shares. Payment shall be made by certified
check or cleared  funds.  The  Warrant may not be  exercised  in part unless the
purchase price for the Warrant Shares purchased is at least $1,000 or unless the
entire remaining portion of the Warrant is being exercised.

          (b) Promptly  upon receipt of the Notice And  Agreement Of Exercise Of
Warrant  together with the full payment of the Warrant Price,  the Company shall
deliver  to  the  Holder  a  properly   executed   certificate  or  certificates
representing the Warrant Shares being purchased.

<PAGE>


     5. Redemption Of Warrant. At any time on and after April 26, 2001 and prior
to the exercise or expiration  of the Warrant,  the Company shall have the right
to call the Warrants  for  redemption  upon 30 days' prior  written or published
notice at a price of $.001 per  Warrant,  provided  however that the closing bid
quotation  for the Common Stock for at least 20 of the 30  consecutive  business
days  ending  on the  business  day  prior to the  Company's  giving  notice  of
redemption has been at least $3.00 per share. The Holder shall have the right to
exercise  the  Warrant  prior to the date set forth in the  Company's  notice of
redemption (the "Redemption Date"). After the Redemption Date, all rights of the
Holder shall terminate,  other than the right to receive the redemption price of
$.001 per Warrant,  without  interest.  The redemption price shall be subject to
adjustment upon the occurrence of certain events as described in this Agreement.

     6. Withholding Taxes. The Company may take such steps as it deems necessary
or appropriate for the withholding of any taxes which the Company is required by
any law or regulation or any governmental  authority,  whether federal, state or
local,  domestic  or  foreign,  to  withhold  in  connection  with  the  Warrant
including,  but not  limited  to, the  withholding  of all or any portion of any
payment  owed by the  Company to the Holder or the  withholding  of  issuance of
Warrant Shares to be issued upon the exercise of the Warrant.

     7. Securities Laws  Requirements.  The issuance of the Warrant has not been
registered  under the  Securities  Act of 1933, as amended (the "1933 Act"),  in
reliance upon an exemption  from  registration.  In addition,  no Warrant Shares
shall be issued unless and until, in the opinion of the Company,  there has been
full  compliance  with,  or  an  exemption  from,  any  applicable  registration
requirements  of the  1933  Act,  any  applicable  listing  requirements  of any
securities  exchange on which stock of the same class has been  listed,  and any
other requirements of law or any regulatory bodies having jurisdiction over such
issuance and delivery. The Holder hereby acknowledges,  represents, warrants and
agrees as follows,  and,  pursuant to the terms of the Notice And  Agreement  Of
Exercise Of Warrant (Exhibit A) that shall be delivered to the Company upon each
exercise of the Warrant,  the Holder shall acknowledge,  represent,  warrant and
agree as follows:

          (a)  Holder is  acquiring  the  Warrant  and the  Warrant  Shares  for
investment  purposes only and the Warrant and the Warrant  Shares that Holder is
acquiring will be held by Holder without sale, transfer or other disposition for
an  indefinite  period unless the transfer of those  securities is  subsequently
registered  under  the  federal   securities  laws  or  unless  exemptions  from
registration are available;

          (b) Holder's  overall  commitment to investments  that are not readily
marketable is not disproportionate to Holder's net worth and Holder's investment
in the Warrant and the Warrant Shares will not cause such overall commitments to
become excessive;

          (c)  Holder's  financial  condition  is such  that  Holder is under no
present or contemplated  future need to dispose of any portion of the Warrant or
the Warrant Shares to satisfy any existing or contemplated undertaking,  need or
indebtedness;

          (d) Holder has  sufficient  knowledge  and  experience in business and
financial matters to evaluate, and Holder has evaluated, the merits and risks of
an investment in the Warrant and the Warrant Shares;

          (e) The address set forth on the signature  page to this  Agreement is
Holder's  true and correct  residence,  and Holder has no present  intention  of
becoming a resident of any other state or jurisdiction;

          (f) Holder confirms that all documents,  records and books  pertaining
to an investment in the Warrant and the Warrant  Shares that have been requested
by Holder have been made available or delivered to Holder.  Without limiting the
foregoing,  Holder has received and reviewed the Company's Annual Report on Form
10-KSB for the year ended August 31, 1997 and  Quarterly  Reports on Form 10-QSB
for each of the quarters ended November 30, 1997,  February 28, 1998 and May 31,
1998, and the other  documents  included with the letter from the Company to the
Holder dated November 24, 1998,  and the Company's  press releases dated each of
September  19,  1997,  September  26, 1997,  October 1, 1997,  December 3, 1997,
January 13, 1998,  February 11, 1998, March 11, 1998, July 21, 1998,  August 13,
1998 and August 27,  1998,  and Holder has had the  opportunity  to discuss  the
acquisition of the Warrant and the Warrant  Shares with the Company,  and Holder
has obtained or been given access to all information concerning the Company that
Holder has requested;

<PAGE>


          (g) Holder has had the  opportunity  to ask  questions of, and receive
the answers  from,  the Company  concerning  the terms of the  investment in the
Warrant and the Warrant Shares and to receive additional  information  necessary
to verify the accuracy of the  information  delivered  to Holder,  to the extent
that  the  Company   possesses  such  information  or  can  acquire  it  without
unreasonable effort or expense;

          (h) Holder  understands that the Warrant has not been, and the Warrant
Shares issuable upon exercise of the Warrants will not be,  registered under the
1933 Act or any state  securities  laws in reliance on an exemption  for private
offerings,  and no federal or state agency has made any finding or determination
as to the fairness of this  investment or any  recommendation  or endorsement of
the issuance of the Warrant or the Warrant Shares;

          (i) The Warrant and the Warrant  Shares that Holder is acquiring  will
be solely for Holder's own account, for investment,  and are not being purchased
with a view to or for the resale, distribution, subdivision or fractionalization
thereof.   Holder  has  no  agreement  or  arrangement   for  any  such  resale,
distribution, subdivision or fractionalization thereof;

          (j) Holder acknowledges and is aware of the following:

               (i) The  Company  has a history of losses.  The  Warrant  and the
          Warrant Shares constitute a speculative  investment and involve a high
          degree of risk of loss by Holder of Holder's  total  investment in the
          Warrant and the Warrant Shares.

               (ii) There are substantial restrictions on the transferability of
          the Warrant and the Warrant Shares.  The Warrant is not  transferable.
          The Warrant Shares cannot be transferred,  pledged, hypothecated, sold
          or otherwise disposed of unless they are registered under the 1933 Act
          or an exemption from such registration is available and established to
          the  satisfaction  of  the  Company;   except  as  set  forth  in  the
          Subscription  Agreement,  investors  in the Company  have no rights to
          require that the Warrant  Shares be  registered;  there is no right of
          presentment  of the Warrant  Shares and there is no  obligation by the
          Company to repurchase  any of the Warrant  Shares;  and,  accordingly,
          Holder may have to hold the Warrant Shares indefinitely and it may not
          be  possible  for  Holder  to  liquidate  Holder's  investment  in the
          Company;

               (iii) Each  certificate  issued  representing  the Warrant Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

<PAGE>

          (k) The Holder shall report all sales of Warrant Shares to the Company
in writing on a form prescribed by the Company.

          The restrictions  described above, or notice thereof, may be placed on
the  certificates  representing  the Warrant  Shares  purchased  pursuant to the
Warrant, and the Company may refuse to issue the certificates or to transfer the
shares  on  its  books  unless  it  is  satisfied  that  no  violation  of  such
restrictions will occur.

     8.  Adjustment  By Stock  Split,  Stock  Dividend,  Etc. If at any time the
Company  increases or decreases the number of its  outstanding  shares of common
stock, or changes in any way the rights and privileges of such shares,  by means
of the payment of a stock  dividend or the making of any other  distribution  on
such shares payable in its common stock, or through a stock split or subdivision
of  shares,   or  a  consolidation  or  combination  of  shares,  or  through  a
reclassification  or  recapitalization  involving its common stock, the numbers,
rights and  privileges  of the shares of common  stock  included  in the Warrant
shall be  increased,  decreased  or changed in like manner as if such shares had
been issued and  outstanding,  fully paid and  nonassessable at the time of such
occurrence and the Warrant Price shall be correspondingly  decreased,  increased
or  otherwise  changed.  Whenever  the number or kind of shares  comprising  the
Warrant Shares or the Warrant Price is adjusted, the Company shall promptly give
written notice and a certificate of the Chief Financial  Officer or President of
the Company to each Holder of record of the outstanding  Warrants,  stating that
such an  adjustment  has been  effected and setting forth the number and kind of
shares purchasable and the amount of the then-current Warrant Price, and stating
in reasonable  detail the facts requiring such adjustment and the calculation of
such adjustment.

     9.   Reorganization   And   Reclassification.   In  case  of  any   capital
reorganization or any reclassification of the capital stock of the Company while
the Warrants remain outstanding,  the Holder of the Warrants shall thereafter be
entitled to purchase pursuant to the Warrants (in lieu of the kind and number of
shares of Common  Stock  comprising  Warrant  Shares that such Holder would have
been entitled to purchase or acquire  immediately before such  reorganization or
reclassification) the kind and number of shares of stock of any class or classes
or other  securities  or property  for or into which such shares of Common Stock
would have been exchanged,  converted, or reclassified if the Warrant Shares had
been purchased  immediately before such reorganization or  reclassification.  In
case of any such reorganization or reclassification,  appropriate  provision (as
determined  by  resolutions  of the Board of Directors of the Company)  shall be
made with  respect to the rights and  interest  thereafter  of the Holder of the
Warrants,  to the  end  that  all  the  provisions  of  this  Warrant  Agreement
(including adjustment  provisions) shall thereafter be applicable,  as nearly as
reasonably  practicable,  in  relation  to such  stock  or other  securities  or
property.

     10. Common Stock To Be Received Upon Exercise.  Holder understands that (a)
the  Company is under no  obligation  to  register  the  issuance of the Warrant
Shares,  (b) the  Company's  obligation  to  register  the resale of the Warrant
Shares  under  the 1933 Act is as set  forth in  Section  3 of the  Subscription
Agreement,  and (c) in the absence of any such registration,  the Warrant Shares
cannot be sold unless they are sold pursuant to an exemption  from  registration
under the 1933 Act.  Holder  also  understands  that with  respect  to Rule 144,
routine sales of securities  made in reliance upon such Rule can be made only in
limited  amounts in accordance  with the terms and  conditions of the Rule,  and
that in  cases  in  which  the  Rule is  inapplicable,  compliance  with  either
Regulation  A or  another  disclosure  exemption  under  the  1933  Act  will be
required.  Thus,  the Warrant  Shares will have to be held  indefinitely  in the
absence of registration under the Act or an exemption from registration.

     Furthermore,  the Holder  fully  understands  that  issuance of the Warrant
Shares will not be  registered  under the Act and that,  because the issuance of
the Warrant Shares will not be registered,  the Warrant Shares will be issued in
reliance  upon an exemption  which is  available  only if Holder  acquires  such
shares for  investment and not with a view to  distribution.  Holder is familiar
with the phrase "acquired for investment and not with a view to distribution" as
it  relates  to the Act and the  special  meaning  given to such term in various
releases of the Securities And Exchange Commission.

     11.  Privilege Of  Ownership.  Holder shall not have any of the rights of a
stockholder  with  respect to the shares  covered by the  Warrant  except to the
extent that one or more  certificates  for such shares shall be delivered to him
upon exercise of the Warrant.

     12.  Relationship  To Engagement.  Nothing  contained in this Agreement (i)
shall confer upon the Holder any right with respect to  continuance  of Holder's
engagement by, or affiliation  with, or  relationship  to, the Company,  or (ii)
shall  interfere  in any way  with  the  right  of the  Company  at any  time to
terminate  the  Holder's   engagement  by,  position  or  affiliation  with,  or
relationship to, the Company.

<PAGE>



     13.  Notices.  All  notices,  requests,   demands,   directions  and  other
communications  ("Notices")  concerning  this Agreement  shall be in writing and
shall be mailed or delivered  personally  or sent by  telecopier or facsimile to
the  applicable  party at the  address  of such  party set  forth  below in this
Section  13.  When  mailed,  each  such  Notice  shall be sent by  first  class,
certified mail, return receipt requested, enclosed in a postage prepaid wrapper,
and shall be effective on the fifth  business day after it has been deposited in
the mail.  When delivered  personally,  each such Notice shall be effective when
delivered to the address for the respective  party set forth in this Section 13,
provided that it is delivered on a business day and further  provided that it is
delivered  prior to 5:00  p.m.,  local  time of the party to whom the  notice is
being  delivered,  on that  business day;  otherwise,  each such Notice shall be
effective on the first  business day  occurring  after the Notice is  delivered.
When sent by telecopier or facsimile, each such Notice shall be effective on the
day on which it is sent  provided  that it is sent on a business day and further
provided that it is sent prior to 5:00 p.m., local time of the party to whom the
Notice is being sent, on that business day; otherwise, each such Notice shall be
effective on the first  business day  occurring  after the Notice is sent.  Each
such Notice shall be addressed to the party to be notified as shown below:

          (a) if to the Company:

              Double Eagle Petroleum And Mining Co.
              777 Overland Trail
              Casper, Wyoming 82602
              Facsimile No. (307) 266-1823
              Attention:  President

          (b) if to the Holder:   
              Thomas J. Vessels
              At the address set forth on the signature page
              of this Agreement


     Either party may change its respective address for purposes of this Section
13 by giving the other  party  Notice of the new address in the manner set forth
above.

     14. General  Provisions.  This instrument (a) contains the entire agreement
between  the  parties,  (b) may not be amended nor may any rights  hereunder  be
waived  except by an  instrument  in  writing  signed by the party  sought to be
charged  with such  amendment or waiver,  (c) shall be  construed in  accordance
with,  and governed by the laws of  Colorado,  and (d) shall be binding upon and
shall  inure  to the  benefit  of the  parties  and  their  respective  personal
representatives  and assigns,  except as above set forth. All pronouns contained
herein and any  variations  thereof  shall be deemed to refer to the  masculine,
feminine or neuter, singular or plural as the identity of the parties hereto may
require.

     IN WITNESS  WHEREOF,  the parties have executed this Agreement on the dates
set forth below.

                                        DOUBLE EAGLE PETROLEUM AND
                                                 MINING CO.



Date:____________________               By:_______________________________

                                        ------------------------------
                                        Printed Name And Title

                                        HOLDER



Date:____________________               __________________________________
                                        Thomas J. Vessels, individually
                                        Address:  1610 Wynkoop, Suite 100
                                                  Denver, Colorado 80202
                                                  Facsimile No. (303) 534-0487


<PAGE>


                                    EXHIBIT A
                    (To Double Eagle Petroleum And Mining Co.
                            Stock Warrant Agreement)

                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                   NOTICE AND AGREEMENT OF EXERCISE OF WARRANT

     I hereby  exercise my Double Eagle  Petroleum  And Mining Co. Stock Warrant
dated as of October 16, 1998 as to ________  shares of the $.01 par value common
stock (the  "Warrant  Shares")  of Double  Eagle  Petroleum  And Mining Co. (the
"Company") at a purchase  price of $_______ per share.  The total exercise price
for these  Warrant  Shares is  $________.  Enclosed  is  payment  in the form of
___________________.

     Enclosed is the payment specified in Section 4 of my Warrant Agreement.

     I understand that no Warrant Shares will be issued unless and until, in the
opinion of the Company,  there has been full  compliance  with,  or an exemption
from, any applicable registration requirements of the Securities Act of 1933, as
amended (the "1933 Act"), any applicable listing  requirements of any securities
exchange  on which  stock  of the  same  class  is then  listed,  and any  other
requirements  of law or any  regulatory  bodies  having  jurisdiction  over such
issuance and delivery.  I hereby acknowledge,  represent,  warrant and agree, to
and with the Company as follows:

     (a) Holder is acquiring the Warrant Shares for investment purposes only and
the Warrant Shares that Holder is acquiring will be held by Holder without sale,
transfer or other  disposition  for an indefinite  period unless the transfer of
those securities is subsequently registered under the federal securities laws or
unless exemptions from registration are available;

     (b)  Holder's  overall  commitment  to  investments  that  are not  readily
marketable is not disproportionate to Holder's net worth and Holder's investment
in the  Warrant  Shares  will not  cause  such  overall  commitments  to  become
excessive;

     (c) Holder's financial condition is such that Holder is under no present or
contemplated  future  need to dispose of any  portion of the  Warrant  Shares to
satisfy any existing or contemplated undertaking, need or indebtedness;

     (d)  Holder  has  sufficient  knowledge  and  experience  in  business  and
financial matters to evaluate, and Holder has evaluated, the merits and risks of
an investment in the Warrant Shares;

     (e) The address set forth in this  Agreement  is Holder's  true and correct
residence,  and Holder has no present  intention  of  becoming a resident of any
other state or jurisdiction;

     (f) Holder confirms that all documents,  records and books pertaining to an
investment  in the Warrant  Shares that have been  requested  by the Holder have
been made  available  or delivered to Holder.  Without  limiting the  foregoing,
Holder has received and reviewed the Company's  Annual Report on Form 10-KSB for
the year ended August 31, 1997 and Quarterly  Reports on Form 10-QSB for each of
the quarters  ended  November 30, 1997,  February 28, 1998 and May 31, 1998, all
subsequent  periodic reports required to be filed by the Company pursuant to the
Securities  Exchange  Act of 1934,  as amended,  that have been  provided to the
Holder by the Company,  and the Company's press releases dated each of September
19, 1997,  September 26, 1997,  October 1, 1997,  December 3, 1997,  January 13,
1998,  February 11, 1998,  March 11,  1998,  July 21, 1998,  August 13, 1998 and
August 27, 1998,  and all subsequent  press releases  issued by the Company that
have  been  provided  to the  Holder  by the  Company,  and  Holder  has had the
opportunity  to discuss the  acquisition of the Warrant Shares with the Company,
and Holder has obtained or been given access to all  information  concerning the
Company that Holder has requested;

<PAGE>


     (g) Holder has had the  opportunity  to ask  questions  of, and receive the
answers from, the Company  concerning the terms of the investment in the Warrant
Shares and to receive additional information necessary to verify the accuracy of
the information  delivered to Holder,  to the extent that the Company  possesses
such information or can acquire it without unreasonable effort or expense;

     (h) Holder  understands  that the  issuance of the Warrant  Shares upon the
exercise of the Warrants has not been registered under the 1933 Act or any state
securities  laws in  reliance on an  exemption  for  private  offerings,  and no
federal or state agency has made any finding or determination as to the fairness
of this  investment  or any  recommendation  or  endorsement  of the sale of the
Warrant Shares;

     (i) The Warrant Shares that Holder is acquiring will be solely for Holder's
own account,  for investment,  and are not being purchased with a view to or for
the resale,  distribution,  subdivision or fractionalization thereof. Holder has
no agreement or arrangement  for any such resale,  distribution,  subdivision or
fractionalization thereof;

     (j) Holder acknowledges and is aware of the following:

               (i) The  Company  has a history of  losses.  The  Warrant  Shares
          constitute a speculative  investment and involve a high degree of risk
          of loss by Holder of Holder's total investment in the Warrant Shares.

               (ii) There are substantial restrictions on the transferability of
          the Warrant Shares. The Warrant Shares cannot be transferred, pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the 1933 Act or an exemption from such registration is available
          and established to the  satisfaction of the Company;  investors in the
          Company  have  no  rights  to  require  that  the  Warrant  Shares  be
          registered except as set forth in the Subscription Agreement; there is
          no  right  of  presentment  of the  Warrant  Shares  and  there  is no
          obligation  by the Company to  repurchase  any of the Warrant  Shares;
          and,  accordingly,   Holder  may  have  to  hold  the  Warrant  Shares
          indefinitely  and it may  not be  possible  for  Holder  to  liquidate
          Holder's investment in the Company.

               (iii) Each  certificate  issued  representing  the Warrant Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

     The number of Warrant Shares  specified  above are to be issued in the name
or names set forth below in the left-hand column.



(Print Your Name)                              Signature


(Holder - Print Name of Spouse                 Address
if you wish joint registration)
                                               City, State and Zip Code




THE SECURITIES  REPRESENTED BY THIS DOCUMENT HAVE NOT BEEN  REGISTERED  WITH THE
UNITED STATES SECURITIES AND EXCHANGE  COMMISSION UNDER THE U.S.  SECURITIES ACT
OF 1933, AS AMENDED (THE "1933 ACT"),  AND ARE  "RESTRICTED  SECURITIES" AS THAT
TERM IS  DEFINED  IN RULE 144  UNDER  THE 1933 ACT.  THE  SECURITIES  MAY NOT BE
OFFERED FOR SALE, SOLD OR OTHERWISE  TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE
REGISTRATION  STATEMENT  UNDER THE 1933 ACT, OR PURSUANT  TO AN  EXEMPTION  FROM
REGISTRATION UNDER THE 1933 ACT.

                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                             STOCK WARRANT AGREEMENT


     THIS STOCK WARRANT  AGREEMENT (the "Agreement") is made and entered into as
of the 16th day of October 1998 by and between Double Eagle Petroleum And Mining
Co., a Wyoming corporation (the "Company"), and Tina H. Vessels (the "Holder").

                                   WITNESSETH:

     WHEREAS,  pursuant to the  Subscription  Agreement dated as of November 24,
1998  between  the Company and Holder  (the  "Subscription  Agreement"),  Holder
agreed to purchase from the Company, and the Company agreed to sell and issue to
the Holder,  a warrant to purchase  shares of the $.01 par value common stock of
the Company ("Common  Stock"),  said warrant to be for the number of shares,  at
the price per share and on the terms set forth in this Agreement; and

     WHEREAS,  the  Holder  desires  to  receive  a  warrant  on the  terms  and
conditions set forth in this Agreement.

     NOW, THEREFORE, the parties agree as follows:

     1. Grant Of Warrant.  The Company hereby grants to the Holder the right and
warrant  (the  "Warrant")  to purchase all or any part of an aggregate of 75,000
shares of the authorized and unissued $.10 par value common stock of the Company
(the "Warrant  Shares")  pursuant to the terms and  conditions set forth in this
Agreement.

     2. Warrant Price.  At any time when shares are to be purchased  pursuant to
the  Warrant,  the purchase  price for each  Warrant  Share shall be $1.375 (the
"Warrant Price"), subject to adjustment as provided in this Agreement.
 
     3.  Exercise  Period.  The period for the  exercise  of the  Warrant  shall
commence on the date of this Agreement and shall terminate at 5:00 p.m., Denver,
Colorado time on October 16, 2003 unless terminated  earlier as provided in this
Agreement.
 
     4. Exercise Of Warrant.

          (a) The Warrant may be exercised in whole or in part by  delivering to
the  Treasurer  or  President  of the  Company at the  address of the  Company's
principal   office  (i)  a  Notice  And   Agreement   Of  Exercise  Of  Warrant,
substantially in the form attached hereto as Exhibit A, specifying the number of
Warrant  Shares with  respect to which the Warrant is  exercised,  and (ii) full
payment of the Warrant Price for such shares. Payment shall be made by certified
check or cleared  funds.  The  Warrant may not be  exercised  in part unless the
purchase price for the Warrant Shares purchased is at least $1,000 or unless the
entire remaining portion of the Warrant is being exercised.

          (b) Promptly  upon receipt of the Notice And  Agreement Of Exercise Of
Warrant  together with the full payment of the Warrant Price,  the Company shall
deliver  to  the  Holder  a  properly   executed   certificate  or  certificates
representing the Warrant Shares being purchased.

     5. Redemption Of Warrant. At any time on and after April 26, 2001 and prior
to the exercise or expiration  of the Warrant,  the Company shall have the right
to call the Warrants  for  redemption  upon 30 days' prior  written or published
notice at a price of $.001 per  Warrant,  provided  however that the closing bid
quotation  for the Common Stock for at least 20 of the 30  consecutive  business
days  ending  on the  business  day  prior to the  Company's  giving  notice  of
redemption has been at least $3.00 per share. The Holder shall have the right to
exercise  the  Warrant  prior to the date set forth in the  Company's  notice of
redemption (the "Redemption Date"). After the Redemption Date, all rights of the
Holder shall terminate,  other than the right to receive the redemption price of
$.001 per Warrant,  without  interest.  The redemption price shall be subject to
adjustment upon the occurrence of certain events as described in this Agreement.

<PAGE>


     6. Withholding Taxes. The Company may take such steps as it deems necessary
or appropriate for the withholding of any taxes which the Company is required by
any law or regulation or any governmental  authority,  whether federal, state or
local,  domestic  or  foreign,  to  withhold  in  connection  with  the  Warrant
including,  but not  limited  to, the  withholding  of all or any portion of any
payment  owed by the  Company to the Holder or the  withholding  of  issuance of
Warrant Shares to be issued upon the exercise of the Warrant.

     7. Securities Laws  Requirements.  The issuance of the Warrant has not been
registered  under the  Securities  Act of 1933, as amended (the "1933 Act"),  in
reliance upon an exemption  from  registration.  In addition,  no Warrant Shares
shall be issued unless and until, in the opinion of the Company,  there has been
full  compliance  with,  or  an  exemption  from,  any  applicable  registration
requirements  of the  1933  Act,  any  applicable  listing  requirements  of any
securities  exchange on which stock of the same class has been  listed,  and any
other requirements of law or any regulatory bodies having jurisdiction over such
issuance and delivery. The Holder hereby acknowledges,  represents, warrants and
agrees as follows,  and,  pursuant to the terms of the Notice And  Agreement  Of
Exercise Of Warrant (Exhibit A) that shall be delivered to the Company upon each
exercise of the Warrant,  the Holder shall acknowledge,  represent,  warrant and
agree as follows:

          (a)  Holder is  acquiring  the  Warrant  and the  Warrant  Shares  for
investment  purposes only and the Warrant and the Warrant  Shares that Holder is
acquiring will be held by Holder without sale, transfer or other disposition for
an  indefinite  period unless the transfer of those  securities is  subsequently
registered  under  the  federal   securities  laws  or  unless  exemptions  from
registration are available;

          (b) Holder's  overall  commitment to investments  that are not readily
marketable is not disproportionate to Holder's net worth and Holder's investment
in the Warrant and the Warrant Shares will not cause such overall commitments to
become excessive;

          (c)  Holder's  financial  condition  is such  that  Holder is under no
present or contemplated  future need to dispose of any portion of the Warrant or
the Warrant Shares to satisfy any existing or contemplated undertaking,  need or
indebtedness;

          (d) Holder has  sufficient  knowledge  and  experience in business and
financial matters to evaluate, and Holder has evaluated, the merits and risks of
an investment in the Warrant and the Warrant Shares;

          (e) The address set forth on the signature  page to this  Agreement is
Holder's  true and correct  residence,  and Holder has no present  intention  of
becoming a resident of any other state or jurisdiction;

          (f) Holder confirms that all documents,  records and books  pertaining
to an investment in the Warrant and the Warrant  Shares that have been requested
by Holder have been made available or delivered to Holder.  Without limiting the
foregoing,  Holder has received and reviewed the Company's Annual Report on Form
10-KSB for the year ended August 31, 1997 and  Quarterly  Reports on Form 10-QSB
for each of the quarters ended November 30, 1997,  February 28, 1998 and May 31,
1998, and the other  documents  included with the letter from the Company to the
Holder dated November 24, 1998,  and the Company's  press releases dated each of
September  19,  1997,  September  26, 1997,  October 1, 1997,  December 3, 1997,
January 13, 1998,  February 11, 1998, March 11, 1998, July 21, 1998,  August 13,
1998 and August 27,  1998,  and Holder has had the  opportunity  to discuss  the
acquisition of the Warrant and the Warrant  Shares with the Company,  and Holder
has obtained or been given access to all information concerning the Company that
Holder has requested;

          (g) Holder has had the  opportunity  to ask  questions of, and receive
the answers  from,  the Company  concerning  the terms of the  investment in the
Warrant and the Warrant Shares and to receive additional  information  necessary
to verify the accuracy of the  information  delivered  to Holder,  to the extent
that  the  Company   possesses  such  information  or  can  acquire  it  without
unreasonable effort or expense;

<PAGE>


          (h) Holder  understands that the Warrant has not been, and the Warrant
Shares issuable upon exercise of the Warrants will not be,  registered under the
1933 Act or any state  securities  laws in reliance on an exemption  for private
offerings,  and no federal or state agency has made any finding or determination
as to the fairness of this  investment or any  recommendation  or endorsement of
the issuance of the Warrant or the Warrant Shares;

          (i) The Warrant and the Warrant  Shares that Holder is acquiring  will
be solely for Holder's own account, for investment,  and are not being purchased
with a view to or for the resale, distribution, subdivision or fractionalization
thereof.   Holder  has  no  agreement  or  arrangement   for  any  such  resale,
distribution, subdivision or fractionalization thereof;

          (j) Holder acknowledges and is aware of the following:

               (i) The  Company  has a history of losses.  The  Warrant  and the
          Warrant Shares constitute a speculative  investment and involve a high
          degree of risk of loss by Holder of Holder's  total  investment in the
          Warrant and the Warrant Shares.

               (ii) There are substantial restrictions on the transferability of
          the Warrant and the Warrant Shares.  The Warrant is not  transferable.
          The Warrant Shares cannot be transferred,  pledged, hypothecated, sold
          or otherwise disposed of unless they are registered under the 1933 Act
          or an exemption from such registration is available and established to
          the  satisfaction  of  the  Company;   except  as  set  forth  in  the
          Subscription  Agreement,  investors  in the Company  have no rights to
          require that the Warrant  Shares be  registered;  there is no right of
          presentment  of the Warrant  Shares and there is no  obligation by the
          Company to repurchase  any of the Warrant  Shares;  and,  accordingly,
          Holder may have to hold the Warrant Shares indefinitely and it may not
          be  possible  for  Holder  to  liquidate  Holder's  investment  in the
          Company;

               (iii) Each  certificate  issued  representing  the Warrant Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

<PAGE>



          (k) The Holder shall report all sales of Warrant Shares to the Company
in writing on a form prescribed by the Company.

          The restrictions  described above, or notice thereof, may be placed on
the  certificates  representing  the Warrant  Shares  purchased  pursuant to the
Warrant, and the Company may refuse to issue the certificates or to transfer the
shares  on  its  books  unless  it  is  satisfied  that  no  violation  of  such
restrictions will occur.

     8.  Adjustment  By Stock  Split,  Stock  Dividend,  Etc. If at any time the
Company  increases or decreases the number of its  outstanding  shares of common
stock, or changes in any way the rights and privileges of such shares,  by means
of the payment of a stock  dividend or the making of any other  distribution  on
such shares payable in its common stock, or through a stock split or subdivision
of  shares,   or  a  consolidation  or  combination  of  shares,  or  through  a
reclassification  or  recapitalization  involving its common stock, the numbers,
rights and  privileges  of the shares of common  stock  included  in the Warrant
shall be  increased,  decreased  or changed in like manner as if such shares had
been issued and  outstanding,  fully paid and  nonassessable at the time of such
occurrence and the Warrant Price shall be correspondingly  decreased,  increased
or  otherwise  changed.  Whenever  the number or kind of shares  comprising  the
Warrant Shares or the Warrant Price is adjusted, the Company shall promptly give
written notice and a certificate of the Chief Financial  Officer or President of
the Company to each Holder of record of the outstanding  Warrants,  stating that
such an  adjustment  has been  effected and setting forth the number and kind of
shares purchasable and the amount of the then-current Warrant Price, and stating
in reasonable  detail the facts requiring such adjustment and the calculation of
such adjustment.

     9.   Reorganization   And   Reclassification.   In  case  of  any   capital
reorganization or any reclassification of the capital stock of the Company while
the Warrants remain outstanding,  the Holder of the Warrants shall thereafter be
entitled to purchase pursuant to the Warrants (in lieu of the kind and number of
shares of Common  Stock  comprising  Warrant  Shares that such Holder would have
been entitled to purchase or acquire  immediately before such  reorganization or
reclassification) the kind and number of shares of stock of any class or classes
or other  securities  or property  for or into which such shares of Common Stock
would have been exchanged,  converted, or reclassified if the Warrant Shares had
been purchased  immediately before such reorganization or  reclassification.  In
case of any such reorganization or reclassification,  appropriate  provision (as
determined  by  resolutions  of the Board of Directors of the Company)  shall be
made with  respect to the rights and  interest  thereafter  of the Holder of the
Warrants,  to the  end  that  all  the  provisions  of  this  Warrant  Agreement
(including adjustment  provisions) shall thereafter be applicable,  as nearly as
reasonably  practicable,  in  relation  to such  stock  or other  securities  or
property.

     10. Common Stock To Be Received Upon Exercise.  Holder understands that (a)
the  Company is under no  obligation  to  register  the  issuance of the Warrant
Shares,  (b) the  Company's  obligation  to  register  the resale of the Warrant
Shares  under  the 1933 Act is as set  forth in  Section  3 of the  Subscription
Agreement,  and (c) in the absence of any such registration,  the Warrant Shares
cannot be sold unless they are sold pursuant to an exemption  from  registration
under the 1933 Act.  Holder  also  understands  that with  respect  to Rule 144,
routine sales of securities  made in reliance upon such Rule can be made only in
limited  amounts in accordance  with the terms and  conditions of the Rule,  and
that in  cases  in  which  the  Rule is  inapplicable,  compliance  with  either
Regulation  A or  another  disclosure  exemption  under  the  1933  Act  will be
required.  Thus,  the Warrant  Shares will have to be held  indefinitely  in the
absence of registration under the Act or an exemption from registration.

     Furthermore,  the Holder  fully  understands  that  issuance of the Warrant
Shares will not be  registered  under the Act and that,  because the issuance of
the Warrant Shares will not be registered,  the Warrant Shares will be issued in
reliance  upon an exemption  which is  available  only if Holder  acquires  such
shares for  investment and not with a view to  distribution.  Holder is familiar
with the phrase "acquired for investment and not with a view to distribution" as
it  relates  to the Act and the  special  meaning  given to such term in various
releases of the Securities And Exchange Commission.

     11.  Privilege Of  Ownership.  Holder shall not have any of the rights of a
stockholder  with  respect to the shares  covered by the  Warrant  except to the
extent that one or more  certificates  for such shares shall be delivered to him
upon exercise of the Warrant.

     12.  Relationship  To Engagement.  Nothing  contained in this Agreement (i)
shall confer upon the Holder any right with respect to  continuance  of Holder's
engagement by, or affiliation  with, or  relationship  to, the Company,  or (ii)
shall  interfere  in any way  with  the  right  of the  Company  at any  time to
terminate  the  Holder's   engagement  by,  position  or  affiliation  with,  or
relationship to, the Company.

<PAGE>



     13.  Notices.  All  notices,  requests,   demands,   directions  and  other
communications  ("Notices")  concerning  this Agreement  shall be in writing and
shall be mailed or delivered  personally  or sent by  telecopier or facsimile to
the  applicable  party at the  address  of such  party set  forth  below in this
Section  13.  When  mailed,  each  such  Notice  shall be sent by  first  class,
certified mail, return receipt requested, enclosed in a postage prepaid wrapper,
and shall be effective on the fifth  business day after it has been deposited in
the mail.  When delivered  personally,  each such Notice shall be effective when
delivered to the address for the respective  party set forth in this Section 13,
provided that it is delivered on a business day and further  provided that it is
delivered  prior to 5:00  p.m.,  local  time of the party to whom the  notice is
being  delivered,  on that  business day;  otherwise,  each such Notice shall be
effective on the first  business day  occurring  after the Notice is  delivered.
When sent by telecopier or facsimile, each such Notice shall be effective on the
day on which it is sent  provided  that it is sent on a business day and further
provided that it is sent prior to 5:00 p.m., local time of the party to whom the
Notice is being sent, on that business day; otherwise, each such Notice shall be
effective on the first  business day  occurring  after the Notice is sent.  Each
such Notice shall be addressed to the party to be notified as shown below:

          (a) if to the Company:

              Double Eagle Petroleum And Mining Co.
              777 Overland Trail
              Casper, Wyoming 82602
              Facsimile No. (307) 266-1823
              Attention:  President

          (b) if to the Holder:   

              Tina H. Vessels
              At the address set forth on the signature page
              of this Agreement


     Either party may change its respective address for purposes of this Section
13 by giving the other  party  Notice of the new address in the manner set forth
above.

     14. General  Provisions.  This instrument (a) contains the entire agreement
between  the  parties,  (b) may not be amended nor may any rights  hereunder  be
waived  except by an  instrument  in  writing  signed by the party  sought to be
charged  with such  amendment or waiver,  (c) shall be  construed in  accordance
with,  and governed by the laws of  Colorado,  and (d) shall be binding upon and
shall  inure  to the  benefit  of the  parties  and  their  respective  personal
representatives  and assigns,  except as above set forth. All pronouns contained
herein and any  variations  thereof  shall be deemed to refer to the  masculine,
feminine or neuter, singular or plural as the identity of the parties hereto may
require.

     IN WITNESS  WHEREOF,  the parties have executed this Agreement on the dates
set forth below.

                                         DOUBLE EAGLE PETROLEUM AND
                                         MINING CO.



Date:____________________                By:_______________________________


                                         ------------------------------
                                         Printed Name And Title

                                         HOLDER



Date:____________________                __________________________________
                                         Tina H. Vessels, individually
                                         Address:  1610 Wynkoop, Suite 100
                                                   Denver, Colorado 80202
                                                   Facsimile No. (303) 534-0487

<PAGE>


                                    EXHIBIT A
                    (To Double Eagle Petroleum And Mining Co.
                            Stock Warrant Agreement)

                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                   NOTICE AND AGREEMENT OF EXERCISE OF WARRANT

     I hereby  exercise my Double Eagle  Petroleum  And Mining Co. Stock Warrant
dated as of October 16, 1998 as to ________  shares of the $.01 par value common
stock (the  "Warrant  Shares")  of Double  Eagle  Petroleum  And Mining Co. (the
"Company") at a purchase  price of $_______ per share.  The total exercise price
for these  Warrant  Shares is  $________.  Enclosed  is  payment  in the form of
___________________.

     Enclosed is the payment specified in Section 4 of my Warrant Agreement.

     I understand that no Warrant Shares will be issued unless and until, in the
opinion of the Company,  there has been full  compliance  with,  or an exemption
from, any applicable registration requirements of the Securities Act of 1933, as
amended (the "1933 Act"), any applicable listing  requirements of any securities
exchange  on which  stock  of the  same  class  is then  listed,  and any  other
requirements  of law or any  regulatory  bodies  having  jurisdiction  over such
issuance and delivery.  I hereby acknowledge,  represent,  warrant and agree, to
and with the Company as follows:

     (a) Holder is acquiring the Warrant Shares for investment purposes only and
the Warrant Shares that Holder is acquiring will be held by Holder without sale,
transfer or other  disposition  for an indefinite  period unless the transfer of
those securities is subsequently registered under the federal securities laws or
unless exemptions from registration are available;

     (b)  Holder's  overall  commitment  to  investments  that  are not  readily
marketable is not disproportionate to Holder's net worth and Holder's investment
in the  Warrant  Shares  will not  cause  such  overall  commitments  to  become
excessive;

     (c) Holder's financial condition is such that Holder is under no present or
contemplated  future  need to dispose of any  portion of the  Warrant  Shares to
satisfy any existing or contemplated undertaking, need or indebtedness;

     (d)  Holder  has  sufficient  knowledge  and  experience  in  business  and
financial matters to evaluate, and Holder has evaluated, the merits and risks of
an investment in the Warrant Shares;

     (e) The address set forth in this  Agreement  is Holder's  true and correct
residence,  and Holder has no present  intention  of  becoming a resident of any
other state or jurisdiction;

     (f) Holder confirms that all documents,  records and books pertaining to an
investment  in the Warrant  Shares that have been  requested  by the Holder have
been made  available  or delivered to Holder.  Without  limiting the  foregoing,
Holder has received and reviewed the Company's  Annual Report on Form 10-KSB for
the year ended August 31, 1997 and Quarterly  Reports on Form 10-QSB for each of
the quarters  ended  November 30, 1997,  February 28, 1998 and May 31, 1998, all
subsequent  periodic reports required to be filed by the Company pursuant to the
Securities  Exchange  Act of 1934,  as amended,  that have been  provided to the
Holder by the Company,  and the Company's press releases dated each of September
19, 1997,  September 26, 1997,  October 1, 1997,  December 3, 1997,  January 13,
1998,  February 11, 1998,  March 11,  1998,  July 21, 1998,  August 13, 1998 and
August 27, 1998,  and all subsequent  press releases  issued by the Company that
have  been  provided  to the  Holder  by the  Company,  and  Holder  has had the
opportunity  to discuss the  acquisition of the Warrant Shares with the Company,
and Holder has obtained or been given access to all  information  concerning the
Company that Holder has requested;

     (g) Holder has had the  opportunity  to ask  questions  of, and receive the
answers from, the Company  concerning the terms of the investment in the Warrant
Shares and to receive additional information necessary to verify the accuracy of
the information  delivered to Holder,  to the extent that the Company  possesses
such information or can acquire it without unreasonable effort or expense;

     (h) Holder  understands  that the  issuance of the Warrant  Shares upon the
exercise of the Warrants has not been registered under the 1933 Act or any state
securities  laws in  reliance on an  exemption  for  private  offerings,  and no
federal or state agency has made any finding or determination as to the fairness
of this  investment  or any  recommendation  or  endorsement  of the sale of the
Warrant Shares;

     (i) The Warrant Shares that Holder is acquiring will be solely for Holder's
own account,  for investment,  and are not being purchased with a view to or for
the resale,  distribution,  subdivision or fractionalization thereof. Holder has
no agreement or arrangement  for any such resale,  distribution,  subdivision or
fractionalization thereof;

<PAGE>



     (j) Holder acknowledges and is aware of the following:

               (i) The  Company  has a history of  losses.  The  Warrant  Shares
          constitute a speculative  investment and involve a high degree of risk
          of loss by Holder of Holder's total investment in the Warrant Shares.

               (ii) There are substantial restrictions on the transferability of
          the Warrant Shares. The Warrant Shares cannot be transferred, pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the 1933 Act or an exemption from such registration is available
          and established to the  satisfaction of the Company;  investors in the
          Company  have  no  rights  to  require  that  the  Warrant  Shares  be
          registered except as set forth in the Subscription Agreement; there is
          no  right  of  presentment  of the  Warrant  Shares  and  there  is no
          obligation  by the Company to  repurchase  any of the Warrant  Shares;
          and,  accordingly,   Holder  may  have  to  hold  the  Warrant  Shares
          indefinitely  and it may  not be  possible  for  Holder  to  liquidate
          Holder's investment in the Company.

               (iii) Each  certificate  issued  representing  the Warrant Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."


          The number of Warrant Shares  specified  above are to be issued in the
name or names set forth below in the left-hand column.




(Print Your Name)                                    Signature


(Holder - Print Name of Spouse                       Address
if you wish joint registration)
                                                     City, State and Zip Code







                              CONSULTING AGREEMENT

     This  Consulting  Agreement  (the  "Agreement")  is made and  entered  into
effective the 16th day of October  1998,  by and between  Thomas J. Vessels (the
"Consultant"),  whose  principal  place of business is 1610 Wynkoop,  Suite 100,
Denver,  Colorado  80202,  and Double Eagle  Petroleum And Mining Co., a Wyoming
corporation (the  "Company"),  whose principal place of business is 777 Overland
Trail, Casper, Wyoming 82601, as follows:

     1. Consulting Services. (a) The Company hereby retains the Consultant as an
independent  consultant  to the Company and the  Consultant  hereby  accepts and
agrees to such  retention.  The  Consultant  shall  render to the  Company  such
services  of an advisory  or  consultive  nature in order to provide the Company
with  oil  and  gas  transactions  and  acquisitions  that  the  Company  may be
interested in pursuing.

     (b) On and after  October 16, 1998,  Consultant  will  provide  Company the
first right to participate in all oil and gas  transactions in which  Consultant
or Consultant's  designee has the right to participate,  or for which Consultant
is   otherwise   compensated   for   finding   participants   (the   "Consultant
Transactions"),   except  for  those  transactions  arising  or  occurring  from
agreements with the parties or with respect to the areas set forth on Schedule A
attached to and made a part of this  Agreement  that existed  before October 16,
1998.  Any such  participation  by the  Company  shall be on the same basis that
Consultant  is  entitled  to  participate  so that  any  compensation  or  other
consideration  to which  Consultant is entitled as a result of and to the extent
of the Company's  participation shall be passed on to the Company. To the extent
that Company does not desire to participate in any such transaction,  Consultant
will be free to  participate  or otherwise  transfer such  participation  and to
receive compensation therefor.  Prior to participating or otherwise transferring
such  participation  or  receiving  compensation  therefor  with  respect  to  a
Consultant  Transaction  pursuant  to a right that arises or accrues on or after
October 16, 1998,  Consultant shall provide written notice to the Company of the
anticipated  scope,  out-of-pocket  costs,  and  other  terms of the  Consultant
Transaction.  The Company may elect to  participate  in the proposed  Consultant
Transaction by delivering to Consultant  written notice of the Company's binding
election to participate setting forth the extent of the Company's  participation
on or before  the  earlier to occur of 30 days  after the  Company's  receipt of
Consultant's  written  notice or the date  that  Consultant  must  commit to the
Consultant Transaction (the "Participation  Deadline Date"). If the Company does
not  provide  the  Consultant  with the  Company's  acceptance  on or before the
Participation  Deadline Date, the Company shall be deemed to have elected not to
participate in the Consultant  Transaction.  If the Company provides its written
acceptance  prior to the  Participation  Deadline  Date,  the  Consultant  shall
promptly  provide to the Company all assignments and other documents  reasonably
necessary for the Company to participate in the Consultant  Transaction  and the
Company shall pay to the operator,  transferor or other  appropriate  party with
respect to the Consultant Transaction the consideration required to be paid with
respect to the Company's interest in the Consultant Transaction. Notwithstanding
the  foregoing,   the  Consultant   shall  not  participate  in  any  Consultant
Transaction in which the Company  elects to participate in accordance  with this
Section  1(b) and in which the  Company  is  prohibited  from  participating  by
parties to the Consultant  Transaction  other than Consultant unless the Company
gives  Consultant  the Company's  prior written  consent to such  participation,
which  consent shall not be  unreasonably  withheld.  Nothing in this  Agreement
shall be deemed to  require  Consultant  to  disclose  any  information  that is
subject to  confidentiality  restrictions  imposed by third  parties,  including
without limitation, information concerning Consultant Transactions.

     2. Time, Place and Manner of Performance. The Consultant shall be available
for advice and counsel to the Company at such  reasonable and  convenient  times
and places as may be mutually  agreed upon.  Consultant has been performing such
services  since  October  16,  1998 and  agrees to be  reasonably  available  to
continue to perform  such  services  through  January 31, 2000 at the  Company's
request.

     3. Term of  Agreement.  The terms of this  Agreement  include  consultant's
services from and including  October 16, 1998 through  January 31, 2000 subject,
however,  to prior termination as herein provided.  Upon the mutual agreement of
the Company and the Consultant prior to the expiration of the then-current term,
this Agreement may be renewed for one or more additional one-year terms subject,
however, to prior termination as herein provided.

<PAGE>



     4. Compensation. In consideration of Consultant's providing services to the
Company  pursuant to the terms of this  Agreement,  the Company hereby agrees to
compensate  Consultant  by issuing to the  Consultant  options to purchase up to
36,500 shares of the Company's  restricted  common stock.  These options will be
exercisable  at a purchase  price of $1.375 per share  until  October  16,  2001
according  to the terms of the Option  Agreement  attached to and made a part of
this  Agreement  as  Exhibit  B. In the event that this  Agreement  is  renewed,
Consultant  shall be entitled  to such  additional  compensation  in the form of
options, shares, cash or other compensation as the parties shall mutually agree.

     5. Expenses.  Consultant  will be paid $12,000 per year to cover travel and
other  expenses  related to such  services.  All such  payments will be based on
reimbursements  of receipts  submitted  to the Company on or before the 15th day
following the end of the fiscal  quarter in which such expenses are incurred and
such  payments  will be made  within 30 days  after  the  Company's  receipt  of
Consultant's receipts and reimbursement request.

     6. Termination.  This Agreement may be terminated at any time by either the
Company or Consultant  without cause upon written notice of termination from the
Company to  Consultant or from  Consultant  to the Company,  as the case may be;
provided however, that if this Agreement is terminated by the Company for cause,
the  provisions  of Section 1(b) of this  Agreement  shall remain in effect with
respect to any opportunity to participate in Consultant Transactions as to which
Consultant  had  actual  knowledge  prior  to such  termination  whether  or not
previously  disclosed to Company.  All accrued obligations of the Consultant and
the  Company  through  the date of  termination  (with or without  cause)  shall
survive  termination  and  remain  in force  until  discharged.  As used in this
Section 6, termination "for cause" means a termination on account of dishonesty,
disloyalty or insubordination on the part of the Consultant as determined by the
Board of Directors of the  Corporation or a Committee of the Board of Directors.
The  Agreement  will  terminate  without  payment or penalty in the event of the
death or disability of Consultant.

     7. Confidential Information.

     (a) Acknowledgement And Definition. Consultant acknowledges that Consultant
will acquire  information and materials from the Company and knowledge about the
Company's  business,  products,  techniques,  customers,  clients and suppliers.
Consultant  further  acknowledges  that  all  such  knowledge,  information  and
materials acquired, the existence,  terms and conditions of this Agreement,  are
and will be the trade secrets and  confidential  and proprietary  information of
Company (collectively, the "Confidential Information"). Confidential Information
will not include,  however,  (i) any information which is or becomes part of the
public domain through no fault of Consultant or that the Company regularly gives
to third parties without restriction on use or disclosure, (ii) information that
is required to be disclosed by judicial or administrative  order or otherwise by
law,  provided  however that  Consultant  shall  provide the Company with notice
prior to the proposed  disclosure and reasonably assist the Company in obtaining
a  protective  order or to  otherwise  seek to  legally  prevent  disclosure  if
requested  by the Company and the Company  agrees to  reimburse  Consultant  for
Consultant's  reasonable  out-of-pocket expenses for that assistance,  and (iii)
information  that is acquired by Consultant from a third party who was not under
a confidentiality obligation that benefits the Company.

     (b) Maintaining Confidentiality. To ensure the continued confidentiality of
the Confidential Information, Consultant agrees as follows:

          (i) to hold all Confidential Information in strict confidence;  not to
     disclose  it to others  or use it in any way,  commercially  or  otherwise,
     except in performing the Consultant's  services pursuant to this Agreement;
     and not to allow any unauthorized person access to it;

          (ii)  to  take  all  action   reasonably   necessary  to  protect  the
     confidentiality  of  the  Confidential   Information   including,   without
     limitation, implementing and enforcing operating procedures to minimize the
     possibility of unauthorized use or copying of the Confidential Information;
     and

<PAGE>

          (iii) that  Confidential  Information  furnished to  Consultant by the
     Company or produced by Consultant or others in connection with the services
     performed  pursuant to this  Agreement will be and remain the sole property
     of the Company.  Consultant  agrees to return all Confidential  Information
     and any materials or other property  provided by the Company  promptly,  at
     the  Company's  request,  upon  expiration  of  this  Agreement,   or  upon
     termination  of  Consultant's  services by Consultant or by the Company for
     any reason,  whichever  occurs first.  Consultant  agrees not to retain any
     Confidential  Information or reproductions  thereof, or other such property
     or materials, after such request, expiration or termination.

     (c) Survival. The provisions of this Section 7 shall survive termination of
this Agreement.

     8. Nature of Relationship. It is understood and acknowledged by the parties
that  the  Consultant  is  being  retained  by  the  Company  in an  independent
contractor  capacity and not as an employee or agent.  Unless the Company  shall
have  otherwise  consented  in  writing,  Consultant  will  not  enter  into any
agreement  or  incur  any  obligation  on  behalf  of  the  Company.  Consultant
acknowledges that in performing services pursuant to this Agreement,  Consultant
shall be an independent  contractor and not an employee of the Company,  and, as
such,  Consultant  shall be  responsible  for the  paying  of taxes or any other
amounts  payable in respect  of the  payments  to  Consultant  pursuant  to this
Agreement  and  further  that  Consultant  shall not be  entitled to receive any
benefits  received by any of the employees of the Company.  Except as authorized
by the Company in writing,  Consultant  shall not hold  himself out as acting or
authorized to incur  liabilities or obligations for or on behalf of the Company.
Notwithstanding  the foregoing,  Consultant may, in dealings with third parties,
represent  and hold  himself  out as a  consultant  retained  by the  Company to
provide consulting services as provided herein.

     9. Conflict of Interest.  This Agreement does not restrict  Consultant from
performing  services for other persons  except to the extent that any such other
activities would cause Consultant to breach Consultant's  obligations under this
Agreement.

     10. Notices and Waiver. Any notices required or permitted to be given under
this Agreement shall be sufficient if in writing and delivered, faxed or sent by
mail to the principal  office of each party.  Any waiver by the  Consultant of a
breach of any provision of this Agreement by the Company shall not operate or be
construed as a waiver of any subsequent breach by the Company.

     11.  Assignment and Law. This  Agreement and the rights and  obligations of
the parties  hereunder  shall inure to the benefit of and shall be binding  upon
their successor and assigns but shall not be assignable  without consent.  It is
the  intention of the parties  hereto that this  Agreement  and the  performance
hereunder  and all suits and  special  proceedings  hereunder  be  construed  in
accordance  with and enforced in, under and pursuant to the laws of the State of
Colorado, in the courts of Denver, Colorado.

     IN WITNESS  WHEREOF,  the parties  hereto have duly  executed and delivered
this Agreement as of the day and year first above written.

CONSULTANT                               COMPANY
Thomas J. Vessels                        Double Eagle Petroleum And Mining Co.


                                         By:
                                            ------------------------------------
Thomas J. Vessels, individually             Stephen H. Hollis, President


<PAGE>

                                   SCHEDULE A

         (Attached To And Made A Part Of The Consulting Agreement Dated
         October 16, 1998 Between Double Eagle Petroleum And Mining Co.
                             And Thomas J. Vessels)

Consultant Transactions arising or occurring from agreements with the parties or
with respect to the areas set forth below that existed  before  October 16, 1998
shall not be  opportunities  covered by the  Consulting  Agreement to which this
Schedule  is  attached,  and  Company  shall not have any right or  interest  in
opportunities or other transactions relating thereto.

1.   Red Mountain Exploration, Area of Mutual Interest, Anadarko Basin.

2.   Native Power Corporation, Hobbema, Pigeon Lake Reserve.

3.   Associated Energy Managers/Energy Income Fund.

4.   Energy Holdings PLC/Energy Finance Ltd.

5.   Oil, gas and other  mineral  interests  owned by  Consultant  and/or family
     members in the DJ Basin and Texas.





THE SECURITIES  REPRESENTED BY THIS DOCUMENT HAVE NOT BEEN  REGISTERED  WITH THE
UNITED STATES SECURITIES AND EXCHANGE  COMMISSION UNDER THE U.S.  SECURITIES ACT
OF 1933, AS AMENDED (THE "1933 ACT"),  AND ARE  "RESTRICTED  SECURITIES" AS THAT
TERM IS  DEFINED  IN RULE 144  UNDER  THE 1933 ACT.  THE  SECURITIES  MAY NOT BE
OFFERED FOR SALE, SOLD OR OTHERWISE  TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE
REGISTRATION  STATEMENT  UNDER THE 1933 ACT, OR PURSUANT  TO AN  EXEMPTION  FROM
REGISTRATION UNDER THE 1933 ACT.


                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                             STOCK OPTION AGREEMENT


     THIS STOCK OPTION  AGREEMENT (the  "Agreement") is made and entered into as
of the 16th day of October 1998 by and between Double Eagle Petroleum And Mining
Co.,  a  Wyoming  corporation  (the  "Company"),  and  Thomas  J.  Vessels  (the
"Optionee").

                                   WITNESSETH:

     WHEREAS,  pursuant to the Consulting Agreement dated as of October 16, 1998
between the Company  and  Optionee  (the  "Consulting  Agreement"),  the Company
agreed to issue to Optionee  an option to purchase  shares of the $.01 par value
common stock of the Company ("Common  Stock"),  said option to be for the number
of shares,  at the price per share and on the terms set forth in this Agreement;
and

     WHEREAS,  the  Optionee  desires  to  receive  an  option  on the terms and
conditions set forth in this Agreement.

     NOW, THEREFORE, the parties agree as follows:

     1. Grant Of Option. The Company hereby grants to the Optionee the right and
option (the  "Option")  to purchase  all or any part of an  aggregate  of 36,500
shares of the authorized and unissued $.10 par value common stock of the Company
(the "Option  Shares")  pursuant to the terms and  conditions  set forth in this
Agreement.

     2. Option  Price.  At any time when shares are to be purchased  pursuant to
the  Option,  the  purchase  price for each  Option  Share  shall be $1.375 (the
"Option Price"), subject to adjustment as provided in this Agreement.

     3.  Exercise  Period.  The period  for the  exercise  of the  Option  shall
commence on the date of this Agreement and shall terminate at 5:00 p.m., Denver,
Colorado time on October 16, 2001 unless terminated  earlier as provided in this
Agreement.  Notwithstanding the foregoing, to the extent not earlier terminated,
the Option shall  terminate three months after the termination of the Consulting
Agreement (a) by the Company for cause, or (b) by the Optionee.

     4. Exercise Of Option.

          (a) The Option may be exercised in whole or in part by  delivering  to
the  Treasurer of the Company (i) a Notice And  Agreement Of Exercise Of Option,
substantially in the form attached hereto as Exhibit A, specifying the number of
Option  Shares  with  respect  to which the Option is  exercised,  and (ii) full
payment of the Option Price for such shares.  Payment shall be made by certified
check or  cleared  funds.  The Option may not be  exercised  in part  unless the
purchase price for the Option Shares  purchased is at least $1,000 or unless the
entire remaining portion of the Option is being exercised.

          (b) Promptly  upon receipt of the Notice And  Agreement Of Exercise Of
Option  together  with the full payment of the Option  Price,  the Company shall
deliver  to  the  Optionee  a  properly  executed  certificate  or  certificates
representing the Option Shares being purchased.

     5. Withholding Taxes. The Company may take such steps as it deems necessary
or appropriate for the withholding of any taxes which the Company is required by
any law or regulation or any governmental  authority,  whether federal, state or
local, domestic or foreign, to withhold in connection with the Option including,
but not limited to, the withholding of all or any portion of any payment owed by
the Company to the Optionee or the  withholding  of issuance of Option Shares to
be issued upon the exercise of the Option.

<PAGE>


     6.  Securities Laws  Requirements.  No Option Shares shall be issued unless
and until, in the opinion of the Company,  there has been full compliance  with,
or an exemption from, any applicable registration requirements of the Securities
Act of 1933, as amended (the "1933 Act"), any applicable listing requirements of
any  securities  exchange on which stock of the same class has been listed,  and
any other requirements of law or any regulatory bodies having  jurisdiction over
such issuance and delivery, or applicable exemptions are available and have been
complied with.  Pursuant to the terms of the Notice And Agreement Of Exercise Of
Option  (Exhibit A) that shall be delivered to the Company upon each exercise of
the Option,  the Optionee  shall  acknowledge,  represent,  warrant and agree as
follows:

          (a) Optionee is acquiring  the Option Shares for  investment  purposes
only and the Option Shares that  Optionee is acquiring  will be held by Optionee
without sale,  transfer or other disposition for an indefinite period unless the
transfer  of those  securities  is  subsequently  registered  under the  federal
securities laws or unless exemptions from registration are available;

          (b) Optionee's  overall commitment to investments that are not readily
marketable  is not  disproportionate  to  Optionee's  net worth  and  Optionee's
investment  in the Option  Shares  will not cause such  overall  commitments  to
become excessive;

          (c) Optionee's  financial  condition is such that Optionee is under no
present or  contemplated  future  need to  dispose of any  portion of the Option
Shares  to  satisfy  any   existing  or   contemplated   undertaking,   need  or
indebtedness;

          (d) Optionee has  sufficient  knowledge and experience in business and
financial matters to evaluate, and Optionee has evaluated,  the merits and risks
of an investment in the Option Shares;

          (e)  The  address  set  forth  forth  on the  signature  page  to this
Agreement is Optionee's true and correct residence,  and Optionee has no present
intention of becoming a resident of any other state or jurisdiction;

          (f) Optionee confirms that all documents, records and books pertaining
to an investment  in the Warrant and the Option Shares that have been  requested
by Optionee have been made available or delivered to Optionee.  Without limiting
the foregoing, Optionee has received and reviewed the Company's Annual Report on
Form  10-KSB for the year ended  August 31, 1997 and  Quarterly  Reports on Form
10-QSB for each of the quarters ended  November 30, 1997,  February 28, 1998 and
May 31, 1998, and the other documents  included with the letter from the Company
to the Optionee dated November 19, 1998, and the Company's  press releases dated
each of September  19, 1997,  September 26, 1997,  October 1, 1997,  December 3,
1997, January 13, 1998, February 11, 1998, March 11, 1998, July 21, 1998, August
13, 1998 and August 27, 1998,  and Optionee has had the  opportunity  to discuss
the  acquisition  of the Warrant and the Option  Shares  with the  Company,  and
Optionee  has obtained or been given access to all  information  concerning  the
Company that Optionee has requested;

          (g) Optionee has had the  opportunity to ask questions of, and receive
the answers  from,  the Company  concerning  the terms of the  investment in the
Option  Shares and to receive  additional  information  necessary  to verify the
accuracy  of the  information  delivered  to  Optionee,  to the extent  that the
Company possesses such information or can acquire it without unreasonable effort
or expense;

          (h)  Optionee  understands  that the Options  have not, and the Option
Shares issuable upon exercise of the Options will not be,  registered  under the
1933 Act or any state  securities  laws in reliance on an exemption  for private
offerings,  and no federal or state agency has made any finding or determination
as to the fairness of this  investment or any  recommendation  or endorsement of
the sale of the Option Shares;

          (i) The Option  Shares that  Optionee is acquiring  will be solely for
Optionee's own account, for investment,  and are not being purchased with a view
to or for the resale,  distribution,  subdivision or fractionalization  thereof.
Optionee  has no  agreement or  arrangement  for any such resale,  distribution,
subdivision or fractionalization thereof;

<PAGE>

          (j) Optionee acknowledges and is aware of the following:

               (i) The  Company  has a history  of  losses.  The  Option  Shares
          constitute a speculative  investment and involve a high degree of risk
          of loss by  Optionee  of  Optionee's  total  investment  in the Option
          Shares.

               (ii) There are substantial restrictions on the transferability of
          the Option Shares.  The Option is not  transferable  except by will or
          the laws of descent and  distribution,  and any attempt to do so shall
          void the Option.  The Option  Shares cannot be  transferred,  pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the 1933 Act or an exemption from such registration is available
          and established to the  satisfaction of the Company;  investors in the
          Company have no rights to require that the Option Shares be registered
          except as set forth in Section 9 of this Agreement;  there is no right
          of  presentment of the Option Shares and there is no obligation by the
          Company to  repurchase  any of the Option  Shares;  and,  accordingly,
          Optionee may have to hold the Option  Shares  indefinitely  and it may
          not be possible for Optionee to liquidate Optionee's investment in the
          Company.

               (iii) Each  certificate  issued  representing  the Option  Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

          The restrictions  described in this Section 6 or notice thereof may be
placed on the certificates  representing the Option Shares purchased pursuant to
the Option,  and the Company may refuse to issue the certificates or to transfer
the  shares  on its books  unless  it is  satisfied  that no  violation  of such
restrictions will occur.

     7.  Adjustment  By Stock  Split,  Stock  Dividend,  Etc. If at any time the
Company  increases or decreases the number of its  outstanding  shares of common
stock, or changes in any way the rights and privileges of such shares,  by means
of the payment of a stock  dividend or the making of any other  distribution  on
such shares payable in its common stock, or through a stock split or subdivision
of  shares,   or  a  consolidation  or  combination  of  shares,  or  through  a
reclassification  or  recapitalization  involving its common stock, the numbers,
rights and privileges of the shares of common stock included in the Option shall
be  increased,  decreased  or changed in like  manner as if such shares had been
issued  and  outstanding,  fully  paid  and  nonassessable  at the  time of such
occurrence and the Option Price shall be correspondingly decreased, increased or
otherwise  changed.  Whenever the number or kind of shares comprising the Option
Shares or the Option Price is adjusted,  the Company shall promptly give written
notice and a  certificate  of the Chief  Financial  Officer or  President of the
Company to each holder of record of the outstanding  Options,  stating that such
an adjustment  has been effected and setting forth the number and kind of shares
purchasable  and the amount of the  then-current  Warrant Price,  and stating in
reasonable  detail the facts  requiring such  adjustment and the  calculation of
such adjustment.

     8.   Reorganization   And   Reclassification.   In  case  of  any   capital
reorganization or any reclassification of the capital stock of the Company while
the Options remain  outstanding,  the holder of the Options shall  thereafter be
entitled to purchase  pursuant to the Options (in lieu of the kind and number of
shares of Common Stock comprising Option Shares that such holder would have been
entitled to  purchase  or acquire  immediately  before  such  reorganization  or
reclassification) the kind and number of shares of stock of any class or classes
or other  securities  or property  for or into which such shares of Common Stock
would have been exchanged,  converted,  or reclassified if the Option Shares had
been purchased  immediately before such reorganization or  reclassification.  In
case of any such reorganization or reclassification,  appropriate  provision (as
determined  by  resolutions  of the Board of Directors of the Company)  shall be
made with  respect to the rights and  interest  thereafter  of the holder of the
Options, to the end that all the provisions of this Option Agreement  (including
adjustment  provisions) shall thereafter be applicable,  as nearly as reasonably
practicable, in relation to such stock or other securities or property.

     9. Registration Rights. Optionee shall have the right to include the Option
Shares in any registration  statement filed on behalf of the purchasers of Units
of the Company's Common Stock and Warrants pursuant to the same terms, including
with  respect  to the  payment  of  expenses,  as set forth in  Section 3 of the
Subscription  Agreement  dated November 24, 1998 between the Company and each of
the purchasers, including Optionee.

<PAGE>

     10. Common Stock To Be Received Upon Exercise.  Optionee  understands  that
(a) the Company is under no  obligation  to register  the issuance of the Option
Shares, (b) the Company's obligation to register the resale of the Option Shares
under the 1933 Act is as set forth in  Section 9 of this  Agreement,  and (c) in
the absence of any such  registration,  the Option  Shares cannot be sold unless
they are sold  pursuant to an exemption  from  registration  under the 1933 Act.
Optionee  also  understands  that with  respect  to Rule 144,  routine  sales of
securities  made in reliance upon such Rule can be made only in limited  amounts
in accordance  with the terms and  conditions of the Rule,  and that in cases in
which the Rule is inapplicable,  compliance with either  Regulation A or another
disclosure  exemption  under the 1933 Act will be  required.  Thus,  the  Option
Shares will have to be held  indefinitely in the absence of  registration  under
the Act or an exemption from registration.

     Furthermore,  the Optionee  fully  understands  that issuance of the Option
Shares will not be  registered  under the Act and that,  because the issuance of
the Option  Shares will not be  registered,  the Option Shares will be issued in
reliance  upon an exemption  which is available  only if Optionee  acquires such
shares for investment and not with a view to distribution.  Optionee is familiar
with the phrase "acquired for investment and not with a view to distribution" as
it  relates  to the Act and the  special  meaning  given to such term in various
releases of the Securities And Exchange Commission.

     11. Privilege Of Ownership.  Optionee shall not have any of the rights of a
stockholder  with  respect  to the shares  covered  by the Option  except to the
extent that one or more  certificates  for such shares shall be delivered to him
upon exercise of the Option.

     12.  Relationship  To Engagement.  Nothing  contained in this Agreement (i)
shall  confer  upon the  Optionee  any right  with  respect  to  continuance  of
Optionee's  engagement by, or affiliation with, or relationship to, the Company,
or (ii) shall  interfere in any way with the right of the Company at any time to
terminate  the  Optionee's  engagement  by,  position or  affiliation  with,  or
relationship to, the Company.

     13.  Notices.  All  notices,  requests,   demands,   directions  and  other
communications  ("Notices")  concerning  this Agreement  shall be in writing and
shall be mailed or delivered  personally  or sent by  telecopier or facsimile to
the  applicable  party at the  address  of such  party set  forth  below in this
Section  13.  When  mailed,  each  such  Notice  shall be sent by  first  class,
certified mail, return receipt requested, enclosed in a postage prepaid wrapper,
and shall be effective on the fifth  business day after it has been deposited in
the mail.  When delivered  personally,  each such Notice shall be effective when
delivered to the address for the respective  party set forth in this Section 13,
provided that it is delivered on a business day and further  provided that it is
delivered  prior to 5:00  p.m.,  local  time of the party to whom the  notice is
being  delivered,  on that  business day;  otherwise,  each such Notice shall be
effective on the first  business day  occurring  after the Notice is  delivered.
When sent by telecopier or facsimile, each such Notice shall be effective on the
day on which it is sent  provided  that it is sent on a business day and further
provided that it is sent prior to 5:00 p.m., local time of the party to whom the
Notice is being sent, on that business day; otherwise, each such Notice shall be
effective on the first  business day  occurring  after the Notice is sent.  Each
such Notice shall be addressed to the party to be notified as shown below:

          (a) if to the Company:

              Double Eagle Petroleum And Mining Co.
              777 Overland Trail
              Casper, Wyoming 82602
              Facsimile No. (307) 266-1823
              Attention:  President

          (b) if to the Optionee:

              Thomas  J. Vessels
              At the address set forth on the signature page
              of this Agreement

<PAGE>

          Either  party may change its  respective  address for purposes of this
Section 13 by giving the other party Notice of the new address in the manner set
forth above.

     14. General  Provisions.  This instrument (a) contains the entire agreement
between  the  parties,  (b) may not be amended nor may any rights  hereunder  be
waived  except by an  instrument  in  writing  signed by the party  sought to be
charged  with such  amendment or waiver,  (c) shall be  construed in  accordance
with,  and governed by the laws of  Colorado,  and (d) shall be binding upon and
shall  inure  to the  benefit  of the  parties  and  their  respective  personal
representatives  and assigns,  except as above set forth. All pronouns contained
herein and any  variations  thereof  shall be deemed to refer to the  masculine,
feminine or neuter, singular or plural as the identity of the parties hereto may
require.

     IN WITNESS  WHEREOF,  the parties have executed this Agreement on the dates
set forth below.

                                          DOUBLE EAGLE PETROLEUM AND
                                                   MINING CO.



Date:____________________                 By:___________________________

                                          ------------------------------
                                          Printed Name And Title

                                          OPTIONEE



Date:____________________                 ______________________________
                                          Thomas J. Vessels
                                          Address:  1610 Wynkoop, Suite 100
                                                    Denver, Colorado 80202
                                                    Facsimile No. (303) 534-0487


<PAGE>


                                    EXHIBIT A
                    (To Double Eagle Petroleum And Mining Co.
                             Stock Option Agreement)

                      DOUBLE EAGLE PETROLEUM AND MINING CO.

                   NOTICE AND AGREEMENT OF EXERCISE OF OPTION

     I hereby  exercise my Double  Eagle  Petroleum  And Mining Co. Stock Option
dated as of October 16, 1998 as to ________  shares of the $.01 par value common
stock (the  "Option  Shares")  of Double  Eagle  Petroleum  And Mining Co.  (the
"Company") at a purchase price of $1.375 per share. The total exercise price for
these  Option  Shares  is  $________.   Enclosed  is  payment  in  the  form  of
___________________.

     Enclosed is the payment specified in Paragraph 4 of my Option Agreement.

     I understand  that no Option Shares will be issued unless and until, in the
opinion of the Company,  there has been full  compliance  with,  or an exemption
from, any applicable registration requirements of the Securities Act of 1933, as
amended (the "1933 Act"), any applicable listing  requirements of any securities
exchange  on which  stock  of the  same  class  is then  listed,  and any  other
requirements  of law or any  regulatory  bodies  having  jurisdiction  over such
issuance and delivery.  I hereby acknowledge,  represent,  warrant and agree, to
and with the Company as follows:

     (a) Optionee is acquiring  the Option Shares for  investment  purposes only
and the Option  Shares  that  Optionee  is  acquiring  will be held by  Optionee
without sale,  transfer or other disposition for an indefinite period unless the
transfer  of those  securities  is  subsequently  registered  under the  federal
securities laws or unless exemptions from registration are available;

     (b)  Optionee's  overall  commitment  to  investments  that are not readily
marketable  is not  disproportionate  to  Optionee's  net worth  and  Optionee's
investment  in the Option  Shares  will not cause such  overall  commitments  to
become excessive;

     (c)  Optionee's  financial  condition  is such  that  Optionee  is under no
present or  contemplated  future  need to  dispose of any  portion of the Option
Shares  to  satisfy  any   existing  or   contemplated   undertaking,   need  or
indebtedness;

     (d)  Optionee  has  sufficient  knowledge  and  experience  in business and
financial matters to evaluate, and Optionee has evaluated,  the merits and risks
of an investment in the Option Shares;

     (e)  The  address  set  forth  on the  signature  page of  this  Notice  is
Optionee's true and correct residence,  and Optionee has no present intention of
becoming a resident of any other state or jurisdiction;

     (f) Optionee  confirms that all documents,  records and books pertaining to
an  investment  in the Option  Shares that have been  requested by Optionee have
been made  available or delivered to Optionee.  Without  limiting the foregoing,
Optionee has  received and reviewed the Company' s Annual  Report on Form 10-KSB
for the year ended August 31, 1997 and Quarterly Reports on Form 10-QSB for each
of the quarters ended November 30, 1997, February 28, 1998 and May 31, 1998, and
the other  documents  included  with the letter from the Company to the Optionee
dated  November  19,  1998,  and the  Company's  press  releases  dated  each of
September  19,  1997,  September  26, 1997,  October 1, 1997,  December 3, 1997,
January 13, 1998,  February 11, 1998, March 11, 1998, July 21, 1998,  August 13,
1998 and August 27, 1998,  and Optionee has had the  opportunity  to discuss the
acquisition of the Warrant and the Option Shares with the Company,  and Optionee
has obtained or been given access to all information concerning the Company that
Optionee has requested;

     (g) Optionee has had the  opportunity  to ask questions of, and receive the
answers from,  the Company  concerning the terms of the investment in the Option
Shares and to receive additional information necessary to verify the accuracy of
the information  delivered to Optionee, to the extent that the Company possesses
such information or can acquire it without unreasonable effort or expense;

     (h) Optionee  understands  that the Options have not, and the Option Shares
issuable upon exercise of the Options will not be, registered under the 1933 Act
or any state securities laws in reliance on an exemption for private  offerings,
and no federal or state agency has made any finding or  determination  as to the
fairness of this investment or any  recommendation or endorsement of the sale of
the Option Shares;

<PAGE>



     (i) The  Option  Shares  that  Optionee  is  acquiring  will be solely  for
Optionee's own account, for investment,  and are not being purchased with a view
to or for the resale,  distribution,  subdivision or fractionalization  thereof.
Optionee  has no  agreement or  arrangement  for any such resale,  distribution,
subdivision or fractionalization thereof;

     (j) Optionee acknowledges and is aware of the following:

               (i) The  Company  has a history  of  losses.  The  Option  Shares
          constitute a speculative  investment and involve a high degree of risk
          of loss by  Optionee  of  Optionee's  total  investment  in the Option
          Shares.

               (ii) There are substantial restrictions on the transferability of
          the Option Shares.  The Option Shares cannot be transferred,  pledged,
          hypothecated, sold or otherwise disposed of unless they are registered
          under the 1933 Act or an exemption from such registration is available
          and established to the  satisfaction of the Company;  investors in the
          Company have no rights to require that the Option Shares be registered
          except as set forth in Section 9 of the Option Agreement;  there is no
          right of  presentment  of the Option Shares and there is no obligation
          by  the  Company  to  repurchase  any  of  the  Option  Shares;   and,
          accordingly,  Optionee may have to hold the Option Shares indefinitely
          and it may  not be  possible  for  Optionee  to  liquidate  Optionee's
          investment in the Company.

               (iii) Each  certificate  issued  representing  the Option  Shares
          shall be imprinted  with a legend that sets forth a description of the
          restrictions on transferability of those securities, which legend will
          read substantially as follows:

          "THE  SECURITIES   REPRESENTED  BY  THIS  CERTIFICATE  HAVE  NOT  BEEN
          REGISTERED WITH THE UNITED STATES  SECURITIES AND EXCHANGE  COMMISSION
          UNDER THE U.S.  SECURITIES  ACT OF 1933,  AS AMENDED (THE "1933 ACT"),
          AND ARE  'RESTRICTED  SECURITIES'  AS THAT TERM IS DEFINED IN RULE 144
          UNDER THE 1933 ACT. THE SECURITIES  MAY NOT BE OFFERED FOR SALE,  SOLD
          OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN EFFECTIVE  REGISTRATION
          STATEMENT  UNDER  THE 1933  ACT,  OR  PURSUANT  TO AN  EXEMPTION  FROM
          REGISTRATION UNDER THE 1933 ACT."

     The number of Option Shares specified above are to be issued in the name or
names set forth below in the left-hand column.




(Print Your Name)                              Signature



(Optionee - Print Name of Spouse               Address
if you wish joint registration)
                                               City, State and Zip Code





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