C&K 1981 FUND B LTD
10-K, 1997-03-26
DRILLING OIL & GAS WELLS
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                                      FORM 10-K

                          SECURITIES AND EXCHANGE COMMISSION

                               Washington, D.C.  20549


     {x} ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
         EXCHANGE ACT OF 1934

     For the fiscal year ended December 31, 1996

     { } TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
         EXCHANGE ACT OF 1934

     Commission file number 0-10269

                                C&K 1981 FUND-B, LTD.
                (Exact name of registrant as specified in its charter)


                       Texas                             76-0307699
            (State or other jurisdiction of           (I.R.S. Employer
            incorporation or organization)            Identification No.)

            7555 East Hampden Ave., Suite 600
                   Denver, Colorado                         80231
         (Address of principal executive offices)        (Zip code)


     Registrant's telephone number, including area code: (303) 695-3600

     SECURITIES REGISTERED PURSUANT TO SECTION 12(g) OF THE ACT:

                                                      Name of Each Exchange
         Title of Each Class                             Which Registered

                 None                                          None

                            Limited Partnership Interests
                                   (Title of Class)

         Indicate by check mark whether the Registrant (1) has filed all
         reports required to be filed by Section 13 or 15(d) of the
         Securities Exchange Act of 1934 during the preceding 12 months (or
         for such shorter period that the Registrant was required to file
         such reports), and (2) has been subject to such filing requirements
         for the past 90 days.

                                      X
                                     Yes       No

                         DOCUMENTS INCORPORATED BY REFERENCE

           Portions of Registrant's Registration Statement No. 2-70303 are
                incorporated by reference into Part IV of this report.
     <PAGE>



                                        PART I


     ITEM 1 - Business

      General

         The response to this item is submitted as a separate section in Part
     IV of this report under Notes to Financial Statements, Note 1 -
     Organization.

      Operating Hazards and Uninsured Risks

         All of the Partnership's oil and gas activities are subject to the
     risks normally associated with exploration for and production of oil and
     gas, including blowouts, cratering and fires, each of which could result in
     damage to life and property.  The General Partner believes that its
     operations and facilities are in compliance with applicable environmental
     regulations.  Nevertheless, the risks of substantive costs and liabilities
     are inherent in operations such as the Partnership's, and there can be no
     assurance that significant costs and liabilities will not be incurred in
     the future.  The General Partner does carry insurance against some, but not
     all, of these risks.  Losses and liabilities arising from such events would
     reduce revenues and increase costs to the Partnership to the extent not
     covered by insurance.  Notwithstanding the foregoing, the General Partner
     believes that it has adequate insurance coverage to preclude any material
     adverse impact from known claims.

      Markets

         The availability of a ready market for the Partnership's oil and gas
     production and revenues generated from sales of production depends on
     numerous factors beyond its control, including the cost and availability of
     alternative fuels, the level of consumer demand, the extent of other
     domestic production of oil and gas, the extent of importation of foreign
     oil and gas, the costs of and proximity of pipelines and other
     transportation facilities, regulation by state and federal authorities, and
     the costs of complying with applicable environmental regulations.  Prices
     for oil and gas have proven volatile in recent years.  Due to all of the
     above stated factors, management is unable to predict future prices.

     Regulation

      Federal Regulation

         Various aspects of the Partnership's natural gas operations are
     affected by regulations of the Federal Energy Regulatory Commission
     ("FERC") under authority of the Natural Gas Act of 1938 ("NGA") and the
     Natural Gas Policy Act of 1978 ("NGPA").  The provisions of these acts are
     complex.  However, pursuant to certain FERC rules and recent legislation,
     most gas was deregulated on January 1, 1993. Additionally, the interstate
     natural gas pipeline industry is undergoing a substantial restructuring by
     the FERC.  The impact of price decontrol and the FERC restructuring on the
     Partnership is uncertain, but at present would appear not to cause a
     material adverse effect on the business of the Partnership.

      State Regulation

         Most states in which the Partnership owns oil and gas properties have
     statutes and regulations governing a number of environmental and
     conservation matters, including the unitization or pooling of oil and gas
     properties and maximum rates of production from oil and gas wells.  Such
     statutes and regulations may limit the rate at which oil and gas could
     otherwise be produced from the Partnership properties.  State regulatory
     authorities have also established rules and regulations requiring permits
     for drilling operations, drilling bonds and reports concerning operations. 
     Some states have enacted statutes prescribing ceiling prices for gas sold
     within the state.

         In 1992, the Texas Railroad Commission ("TRC") adopted a significant
     revision to the current system of natural gas production in Texas.  The
     previous system required each pipeline system to estimate the demand for
     gas each month and take from its suppliers on a pro rata basis.  The new
     rule assigns allowable production of natural gas to wells on an annual
     basis rather than a monthly basis.  In addition, the determination of
     market demand is made by the TRC rather than the pipelines.  The impact of
     these new regulations on the Partnership has been and is expected to be
     minimal.

      Environmental Regulation

         The Partnership's oil and gas exploration and production operations
     are subject to regulation by the United States Environmental Protection
     Agency (the "EPA") and the regulatory bodies in each state in which it is
     doing business.  The Partnership's oil and gas exploration, development and
     production operations are subject to numerous environmental programs, some
     of which include solid and hazardous waste management, water protection,
     air emission controls, and situs controls affecting wetlands, coastal
     operations, and antiquities.  New programs and changes in existing programs
     are anticipated, some of which include naturally occurring radioactive
     materials ("NORM"), oil and gas exploration and production waste
     management, and underground injection of waste materials.  The Partnership
     is not a party to any enforcement proceedings at this time.

      Federal Income Tax Legislation

         The Partnership pays no income taxes.  Instead, all items of income
     and loss flow through directly to the partners to be included in their
     individual returns.  Certain limitations on the deductibility of losses
     attributable to an investment in the Partnership under the passive loss
     rules will apply to the Limited Partners which are individuals, estates,
     trusts, closely held corporations and personal service corporations.  In
     general, losses from activities in which an investor does not materially
     participate (characterized as passive activities), such as a Limited
     Partner's interest in the Partnership, are only deductible to the extent of
     income from such passive activities.

         The Revenue Act of 1987 classifies certain "publicly traded"
     partnerships as corporations for federal income tax purposes.  The General
     Partner believes that the Partnership should not be considered a publicly
     traded partnership under such provisions, although no assurance of this
     result can be given.  In the event the Partnership was classified as a
     publicly traded partnership under such provisions, it should qualify for an
     exemption from corporate classification to the extent that 90% of its gross
     income is derived from the exploration, production and development of oil
     and natural gas.

         Each Limited Partner should consult with his tax advisor as to the
     effect of the federal income tax laws on his investment in the Partnership.

      Additional Legislation

         No prediction can be made as to what additional legislation may be
     proposed, if any, affecting the competitive status of an oil and gas
     producer, restricting the prices at which a producer may sell its oil and
     gas, imposing new taxes on revenues attributable to oil and gas production,
     or affecting the market demand for oil and gas; nor can it be predicted
     which proposals, including those currently under consideration, if any,
     might be enacted or become effective.

      Employees

         The Partnership has no employees.  Management of the Partnership,
     including legal, accounting, technical and operational support, is provided
     by the General Partner.


     ITEM 2 - Properties

      General

         The Partnership's interests in its properties are in the form of
     various ownership interests in oil and gas leases.  On certain properties,
     the size of interest owned by the Partnership will change after the
     investment in the prospect or well is recovered.  The Partnership's
     properties may be subject to liens, operating agreements, minor
     encumbrances, easements and restrictions.

      Acreage 

         As of December 31, 1996, the Partnership held oil and natural gas
     leases as follows:
     <TABLE>
     <CAPTION>

                                             Acreage Developed  
                                               Gross      Net 
               <S>                            <C>         <C>
               Louisiana                        320        48
               Texas                          1,647       180

                 Totals                       1,967       228
     </TABLE>


      Production

         The following table summarizes for the periods indicated the
     Partnership's (i) net oil and gas production, (ii) the average sales price
     received per barrel ("bbl") of crude oil and per thousand cubic feet
     ("mcf") of natural gas, and (iii) the composite production cost per
     equivalent bbl of oil and gas ("BOE") produced.  Gas has been converted on
     the basis of 6 mcf equals 1 bbl.  Liquid gas plant production (derived from
     natural gas) has been converted on the basis of 1 bbl of plant product
     equals 6 mcf.
     <TABLE>
     <CAPTION>

                                               Year Ended December 31,  
                                              1996       1995      1994        
     <S>                                     <C>         <C>        <C>
     Natural Gas:
       Production (mcf)                      43,043      47,385     55,672
       Average Sales Price per mcf            $2.46       $1.57      $1.96

     Plant Products:
       Production (mcf)                      15,054      20,171      9,405
       Average Sales Price per mcf            $2.08       $1.40      $1.23

     Oil:
       Production (bbl)                      26,203      19,931     23,780
       Average Sales Price per bbl           $21.19      $16.76     $15.40

     Composite Production Cost per BOE        $4.78       $5.12      $4.07
     </TABLE>


      Estimated Oil and Gas Reserve Quantities (Unaudited)

         The response to this item is submitted as a separate section in Part
     IV of this report under Notes to Financial Statements, Note 8 -
     Supplemental Data of Oil and Gas Operations.

      Productive Properties

         As of December 31, 1996, the Partnership had working interests in
     seven gross (.93 net) productive wells, in Louisiana and Texas.

      Drilling Activity

         In 1996, the Partnership participated in the drilling of the McIlhenny
     #1-Sidetrack #3 utilizing the existing wellbore of the McIlhenny #1-D well
     which was abandoned.  The cost to the Partnership to drill and complete the
     well amounted to $283,069 and increased the Partnership reserve base by
     4,098 bbls of oil and 4,753 mcf of gas.


         The Partnership did not participate in any drilling activity during
     1995.  During 1994, the Partnership participated in the drilling of the
     Mestena E-18 well which cost the Partnership $171,281 and increased the
     Partnership reserve base by 2,982 bbls of oil and 182,971 mcf of gas and
     plant products.


     ITEM 3 - Legal Proceedings

         There were no material pending legal proceedings to which the
     Partnership is a party nor to which any of its properties are subject.


     ITEM 4 - Submission of Matters to a Vote of Security Holders

         None.



                                       PART II 

     ITEM 5 - Market for the Registrant's Common Equity and Related
              Stockholders Matters

         The number of holders of record of equity securities of the
     Partnership as of December 31, 1996, was as follows:


                   Title of Class               Number of Record Holders

            Limited Partnership Interests                592


         The assignment of interest is subject to certain restrictions. 
     Because of these restrictions and the absence of a public market for the
     interests, a Limited Partner may not readily be able to liquidate his
     investment in the Partnership.  However, Article VII of the Partnership
     Agreement provides a procedure whereby a Limited Partner may present his
     Limited Partnership interest to the General Partner for purchase.  The
     purchase price is based on the Limited Partners' proportionate share of the
     sum of (i) two-thirds of the present worth of estimated future net revenues
     discounted at the prime rate in effect on the applicable valuation date
     plus one percent, (ii) the present value of the estimated salvage value of
     all production facilities and tangible assets, and (iii) the net book value
     of all other assets and liabilities.  (See Part IV of this report under
     Notes to Financial Statements, Notes 4 and 5).


     ITEM 6 - Selected Financial Data

         Selected financial data for each of the five years in the period ended
     December 31, 1996 are as follows:
     <TABLE>
     <CAPTION>


                                         Year Ended December 31, 
                                      1996         1995         1994
     <S>                           <C>           <C>         <C>
     Oil and Gas Sales             $ 692,163     $ 436,487   $ 486,768

     Production Costs
      and Taxes                      171,525       159,175     141,000

     Oil and Gas Sales, Net of
      Production Costs and Taxes     520,638       277,312     345,768

     Net Loss from
      Continuing Operations         (130,667)     (297,411)   (195,065)

     Net Income (Loss) per
      Consenting Limited
      Partnership unit                     1           (20)        (16)

     Net Loss per Nonconsenting
      Limited Partnership unit          (206)         (213)       (146)

     Total Assets                    625,483       486,369     549,929

     Short-Term Obligations           14,833        16,823      62,193

     Long-Term Obligations         2,435,366     2,075,630   1,806,526
     </TABLE>
     <PAGE>

     ITEM 6 - Selected Financial Data (continued)
     <TABLE>
     <CAPTION>

                                       Year Ended December 31,
                                         1993            1992
     <S>                              <C>             <C>

     Oil and Gas Sales                $  776,694      $1,107,442

     Production Costs
      and Taxes                          189,844         196,903

     Oil and Gas Sales, Net of
      Production Costs and Taxes         586,850         910,539

     Net Income from
      Continuing Operations               70,271         335,320

     Net Income per Consenting
      Limited Partnership unit                22              58

     Net Loss per Nonconsenting
      Limited Partnership unit              (102)            (64)

     Total Assets                        581,184         767,825

     Short-Term Obligations              176,838         252,671

     Long-Term Obligations             1,469,477       1,506,860
     </TABLE>



     ITEM 7 - Management's Discussion and Analysis of Financial Condition and
              Results of Operations

      1996 Compared to 1995

         The Partnership's net loss for the year ended December 31, 1996 was
     $130,667, representing a 56% decrease or $166,744 from the net loss
     reported for the same period in 1995.  The decrease resulted primarily from
     increased oil and gas revenues.

         Crude oil and natural gas sales for the year ended December 31, 1996
     increased $255,676 or 59% compared to the same period in 1995.  During
     1996, average crude oil prices increased to $21.19 per bbl, compared with
     1995 prices of $16.76.  Average natural gas prices for 1996 increased to
     $2.46 per mcf, compared with 1995 prices of $1.57 per mcf.  Average plant
     product prices in 1996 increased to $2.08 per equivalent mcf, compared to
     1995 prices of $1.40 per equivalent mcf.  During 1996, crude oil production
     per day increased to 72 bbls compared to 55 bbls per day in 1995.  Natural
     gas production decreased to 118 mcf per day in 1996, compared to 130 mcf
     per day in 1995.  Plant products decreased to 41 equivalent mcf per day in
     1996, compared to 55 equivalent mcf per day in 1995.  

         The overall expenses increased in 1996 compared to 1995.  Lease
     operating expenses decreased by $20,234 or 18% compared to the same period
     in 1995, and production taxes and depreciation, depletion and amortization
     increased by $32,584 or 72%, and $76,015 or 114%, respectively.  The
     decrease in operating expenses is the result of additional safety and
     environmental costs and the plugging of one well in 1995 which did not
     occur in 1996.  Interest expense increased by $11,793 or 6%, in 1996, the
     result of increased capital expenditures incurred for the drilling of the
     McIlhenny #1-Sidetrack #3 well.  The Partnership reported marketing
     deductions of $12,150 and $18,067 for 1996 and 1995, respectively, a
     decrease of $5,917, or 33%, as a result of the decline in gas available to
     market.

      1995 Compared to 1994

         The Partnership's net loss for the year ended December 31, 1995 was
     $297,411, representing a 52% increase or $102,346 from the net loss
     reported for the same period in 1994.  The increase resulted primarily from
     declines in oil production and gas prices, and an increase in operating
     expenses and interest.

         Crude oil and natural gas sales for the year ended December 31, 1995
     decreased $50,281 or 10% compared to the same period in 1994.  During 1995,
     average crude oil prices increased to $16.76 per bbl, compared with 1994
     prices of $15.40.  Average natural gas prices for 1995 decreased to $1.57
     per mcf, compared with 1994 prices of $1.96 per mcf.  Average plant product
     prices in 1995 increased to $1.40 per equivalent mcf, compared to 1994
     prices of $1.23 per equivalent mcf.  During 1995, crude oil production per
     day decreased to 55 bbls compared to 65 bbls per day in 1994.  Natural gas
     production decreased to 130 mcf per day in 1995, compared to 153 mcf per
     day in 1994.  Plant products increased to 55 equivalent mcf per day in
     1995, compared to 26 equivalent mcf per day in 1994.  During the first half
     of 1994, gas was sold at the wellhead rather than processed for economic
     reasons, which resulted in the increase for 1995.

         The overall expenses increased in 1995 compared to 1994.  Lease
     operating expenses increased by $17,768 or 19% compared to the same period
     in 1994, and production taxes and depreciation, depletion and amortization
     increased by $407 or 1%, and $1,798 or 3%, respectively.  Included in lease
     operating expenses for 1995 are non-recurring workover costs necessary to
     maintain production on two wells of approximately $10,400.  The increase in
     operating expenses is also the result of additional operating requirements
     as the properties mature, including environmental and safety costs,
     irrespective of production declines.  Interest expense increased by $46,436
     or 32%, in 1995, the result of increases in the payables and interest
     rates.  The Partnership reported marketing deductions of $18,067 and
     $28,552 for 1995 and 1994, respectively, a decrease of $10,485, or 37%, as
     a result of the decline in gas available to market.

     Financial Condition and Liquidity

      Cash Flow from Operations

         Net cash provided by operating activities was $9,831 in 1996, an
     increase of $240,746 or 104% when compared to 1995.  The increase is
     primarily the result of increased oil and gas revenues.  Cash flows used in
     operating activities in 1995 were $230,915, as compared to cash used in
     operations of $113,590 in 1994.

      Capital Resources

         During 1996, there were expenditures for property additions of
     $279,419 as compared with capital expenditures of $666 in 1995 and $171,281
     in 1994.  The Partnership has made no immediate plans for additional
     exploratory or developmental capital programs in 1997, except those
     necessary to maintain well productivity.

      Financing Activities and Financial Condition

         There were no cash proceeds distributed to the Limited Partners during
     1996.  For the year ended December 31, 1996, the General Partner's
     contributions (allocated share of costs and expenses incurred) and
     distributions (allocated share of revenue collected) were $213,033 and
     $300,998, respectively.

         The Consenting Limited Partners' financing requirements for operating
     expenses and capital projects are currently provided by revenues from their
     share of the Partnership's operations.  The Partnership does not consider
     long-term financing arrangements on behalf of the Consenting Limited
     Partners, from the General Partner or other sources, as necessary at this
     time.

         As a result of the deficit capital position of the Nonconsenting
     Limited Partners, all net cash flows attributable to the Nonconsenting
     Limited Partners' share of the Partnership's operations are presently
     applied entirely against their indebtedness for past advances by the
     General Partner and are not available to fund Partnership needs.  Funds
     required by the Partnership in excess of those generated by operations
     attributable to the different partner interests will be advanced by the
     General Partner.

         The Partnership's financial condition and operating results will be
     materially affected by any significant fluctuations in sales prices for oil
     and gas production.  The Limited Partners' ability to reimburse funds
     advanced by the General Partner will be similarly affected.  The
     Partnership cannot predict the prices it will receive in 1997 and future
     years for its crude oil and natural gas.


     ITEM 8 - Financial Statements and Supplementary Data

         The response to this item is submitted as a separate section in Part
     IV of this report.


     ITEM 9 - Changes in and Disagreements with Accountants on Accounting and
            Financial Disclosure

         On June 20, 1995, the General Partner's Board of Directors approved a
     change in the Registrant's certified independent accountants from Hein +
     Associates LLP to Ernst & Young LLP as reported on Form 8-K dated June 20,
     1995.


                                       PART III

     ITEM 10 - Directors and Executive Officers of the Registrant

         The Partnership has no officers or directors.  The management of the
     General Partner is vested in a Board of Directors consisting of four
     members.  The following persons currently serve as members of the Board of
     Directors and/or principal executive officers:
     <TABLE>
     <CAPTION>

     Name                     Age       Position
     <S>                      <C>       <C>

     Charles C. Gates         75        Chairman of the Board

     Robert L. Kubik          52        President & Chief Executive Officer
      (Resigned effective February 28, 1997)

     Diane Gates Wallach      42        Director & Secretary

     Brown W. Cannon, Jr.     52        Director

     Brad Fisher              35        Senior Vice President, Operations

     Dan R. Taylor            40        Vice President, Accounting & Finance
     </TABLE>

         Charles C. Gates is Chairman of the Board of CODY ENERGY, INC.  He
     also served as Chairman of the Board and Chief Executive Officer of The
     Gates Corporation, the parent company to CODY ENERGY, INC., until July,
     1996.  Mr. Gates attended Massachusetts Institute of Technology and
     Stanford University where he obtained a Bachelor of Science degree in
     Engineering.  He also received an Honorary Doctorate of Engineering from
     the Colorado School of Mines and Michigan Technological University.

         Robert L. Kubik is a Director and President of CODY ENERGY, INC.  Mr.
     Kubik joined the Gates Corporation in 1986 as Assistant General Counsel and
     Director of Corporate Real Estate.  Qualified as a lawyer, he has over 19
     years of oil industry experience with Amerada Hess, Energy Management and
     Mobil Oil.  Mr. Kubik received a Bachelor of Science degree from Ball State
     University and a Juris Doctorate degree from Indiana University School of
     Law.  He is also a member of IPAMS, Denver and Colorado Bar Associations,
     and the American Corporate Counsel Association.

         Diane Gates Wallach was appointed Director of CODY ENERGY, INC. in
     May, 1996.  She was also a Director of The Gates Corporation from August,
     1992 to July, 1996 and is a Trustee of The Gates Foundation and Colorado
     Outward Bound.  Ms. Wallach received a Masters of Business Administration
     and a Bachelor of Science degree from Stanford University.

         Brown W. Cannon, Jr. was appointed Director of CODY ENERGY, INC. in
     May, 1996 and also served as a Director of The Gates Corporation from
     August, 1992 until July, 1996.  He is also a Trustee of the Denver Museum
     of Natural History, a director of the National Western Stock Show and a
     former chairman of Colorado Outward Bound.  Mr. Cannon is a graduate of the
     University of Arizona.

         Brad Fisher is Senior Vice President of Operations for CODY ENERGY,
     INC. in 1994.  Prior to his association with CODY ENERGY, INC., he was with
     Ultramar Oil and Gas, Limited, last holding the position of Vice President
     of Exploration and Production.  Mr. Fisher received a Bachelor of Science
     degree in Petroleum Engineering from Texas A&M University in 1983.

         Dan R. Taylor is Vice President of Finance and Accounting for CODY
     ENERGY, INC.  He is a Certified Public Accountant with over ten years of
     professional accounting experience, primarily in the oil and gas industry. 
     Mr. Taylor received his Bachelor of Business Administration degree in
     Accounting and Information Systems from the University of Texas in 1984 and
     his Bachelor of Science degree in Natural Resource Planning from the
     University of Southern Mississippi in 1978.


     ITEM 11 - Executive Compensation

         The Partnership has no officers or directors.


     ITEM 12 - Security Ownership of Certain Beneficial Owners and Management

         At December 31, 1996, the General Partner owned 40.6% of all Limited
     Partner interests.  No Limited Partner owned, of record or beneficially,
     more than 5% of the Limited Partnership interests.

         The General Partner has a 50% interest in all of the Partnership's oil
     and gas revenues and, upon liquidation, a 50% interest in the Partnership's
     properties as provided under the terms of the Articles of Limited
     Partnership.  In addition, the General Partner has a further 13% interest
     in the Partnership's oil and gas revenues from wells drilled from the
     additional contributions the General Partner made on behalf of
     Nonconsenting Limited Partners, subject to a ceiling of 300% ($1,841,250).

         As of March 1997, officers and directors of the General Partner owned
     none of the Limited Partnership interests in the Partnership.


     ITEM 13 - Certain Relationships and Related Transactions

         In accordance with the provisions of the Articles of Limited
     Partnership, the Partnership annually reimbursed the General Partner
     $279,975 in 1996, 1995, and 1994 for indirect administrative and overhead
     expenses attributable to the operations of the Partnership.  Excluding
     special costs (reserve report preparation, tax reporting-related costs,
     audit costs and printing costs attendant to Limited Partner reports), which
     are allocated 99% to the Limited Partners and 1% to the General Partner,
     general and administrative expenses are allocated 50% to the Limited
     Partners and 50% to the General Partner.

         The General Partner acts as operator for all seven of the Partnership
     wells.



                                       PART IV


     ITEM 14 - Financial Statements, Schedules, Exhibits Filed and Reports on
               Form 8-K

     A. Documents Filed

        1.  Financial Statements

            Independent Auditors' Reports

            Balance Sheets - December 31, 1996 and 1995

            Statements of Operations for the Years Ended December 31, 1996, 1995
            and 1994

            Statements of Changes in Partners' Capital (Deficit) for the Years
            Ended December 31, 1996, 1995 and 1994

            Statements of Cash Flows for the Years Ended December 31, 1996, 1995
            and 1994

            Notes to Financial Statements

        2.  Exhibits Filed

            The following documents are included as exhibits to the Annual
            Report on Form 10-K.  Those exhibits listed below which are
            incorporated by reference herein are indicated as such by the
            information supplied in the parenthetical reference thereafter.

            4.1 - Restated Limited Partnership Agreement. (Filed as Exhibit 4.1
            to Registration Statement No. 2-70303 and incorporated herein by
            reference.)

            4.2 - Restated Certificate of Limited Partnership for C&K 1981
            Fund-B, Ltd. filed in Texas. (Filed as Exhibit 4.3 to
            Registration Statement No. 2-70303 and incorporated herein by
            reference.)

            4.3 - Form of Subscription Agreement. (Filed as Exhibit 4.4 to
            Registration Statement No. 2-70303 and incorporated herein by
            reference.)

     B. Reports on Form 8-K

            On June 20, 1995, the Partnership filed a Form 8-K
            (Commission No. 0-10269 and Internal Revenue Service
            Identification No. 76-0307699), which was received by the
            Securities and Exchange Commission on June 21,1995 and
            incorporated herein by reference, relating to the change in
            the registrant's certified accountants.
<PAGE>

                            Report of Independent Auditors


     The Partners of C&K 1981 Fund-B, Ltd.:

     We have audited the balance sheets of C&K 1981 Fund-B, Ltd. as of December
     31, 1996 and 1995, and the related statements of operations, partners'
     capital (deficit) and cash flows for the years then ended.  These financial
     statements are the responsibility of the Partnership's management.  Our
     responsibility is to express an opinion on these financial statements based
     on our audits.

     We conducted our audits in accordance with generally accepted auditing
     standards.  Those standards require that we plan and perform the audit to
     obtain reasonable assurance about whether the financial statements are free
     of material misstatement.  An audit includes examining, on a test basis,
     evidence supporting the amounts and disclosures in the financial
     statements.  An audit also includes assessing the accounting principles
     used and significant estimates made by management, as well as evaluating
     the overall financial statement presentation.  We believe that our audits
     provide a reasonable basis for our opinion.

     In our opinion, the financial statements referred to above present fairly,
     in all material respects, the financial position of C&K 1981 Fund-B, Ltd.
     at December 31, 1996 and 1995, and the results of its operations and its
     cash flows for the years then ended in conformity with generally accepted
     accounting principles.

     The accompanying financial statements have been prepared assuming that C&K
     1981 Fund-B, Ltd. will continue as a going concern.  As discussed in Note 7
     to the financial statements, the Partnership has a net capital deficiency
     and funds required by the Partnership in excess of those generated by
     operations attributable to certain partner interests will be advanced by
     the General Partner.  The General Partner is currently considering either
     transferring its limited partner and general partner interests in the
     Partnership, or withdrawing as General Partner of the Partnership or taking
     other actions to reduce its responsibilities in the Partnership, which
     could lead to the ultimate dissolution of the Partnership.  These
     conditions raise substantial doubt about the Partnership's ability to
     continue as a going concern.  The financial statements do not include any
     adjustments that might result from the outcome of this uncertainty.



                                                  /s/ Ernst & Young LLP
     Ernst & Young LLP
     Denver, Colorado
     March 8, 1997
<PAGE>

                             INDEPENDENT AUDITOR'S REPORT


     To the Partners of
       C&K 1981 Fund-B, Ltd.

     We have audited the accompanying balance sheet of C&K 1981 Fund-B, Ltd. (a
     Texas Limited partnership) as of December 31, 1994 and the related
     statements of operations, partners' capital (deficit) and cash flows for
     each of the two years in the period ended December 31, 1994.  These
     financial statements are the responsibility of the Partnership's
     management.  Our responsibility is to express an opinion on these financial
     statements based on our audits.

     We conducted our audits in accordance with generally accepted auditing
     standards.  Those standards require that we plan and perform the audits to
     obtain reasonable assurance about whether the financial statements are free
     of material misstatement.  An audit includes examining, on a test basis,
     evidence supporting the amounts and disclosures in the financial
     statements.  An audit also includes assessing the accounting principles
     used and significant estimates made by management, as well as evaluating
     the overall financial statement presentation.  We believe that our audits
     provide a reasonable basis for our opinion.

     In our opinion, the financial statements referred to above present fairly,
     in all material respects, the financial position of C&K 1981 Fund-B, Ltd.,
     as of December 31, 1994 and the results of its operations and its cash
     flows for each of the two years in the period ended December 31, 1994 in
     conformity with generally accepted accounting principles.

     The accompanying financial statements have been prepared assuming that C&K
     1981 Fund-B, Ltd. will continue as a going concern.  As discussed in Note 7
     to the financial statements, the Partnership has a net capital deficiency
     and funds required by the Partnership in excess of those generated by
     operations attributable to certain partner interests will be advanced by
     the General Partner.  The General Partner is currently considering either
     transferring its limited partner and general partner interests in the
     Partnership, or withdrawing as general partner of the Partnership or taking
     other actions to reduce its responsibilities in the Partnership, which
     could lead to the ultimate dissolution of the Partnership.  These
     conditions raise substantial doubt about the Partnership's ability to
     continue as a going concern.  The accompanying financial statements do not
     include any adjustments that might result from the outcome of this
     uncertainty.

     Hein + Associates LLP
     Houston, Texas
     March 13, 1995
<PAGE>

                                C&K 1981 FUND-B, LTD.
                            (A Texas Limited Partnership)
                                    BALANCE SHEETS
     <TABLE>
     <CAPTION>
                                        ASSETS

                                                       December 31,
                                                   1996              1995
     <S>                                      <C>              <C>
     Current Assets:

     Cash                                     $     71,783     $     69,600

       Total Current Assets                         71,783           69,600

     Oil and gas properties and equipment,
      at cost, using the full cost
      method of accounting                      22,969,498        22,690,079

     Less:  Accumulated depreciation,
       depletion and amortization              (22,415,798)      (22,273,310)

                                                   553,700           416,769

     Total Assets                             $    625,483     $     486,369


                     LIABILITIES AND PARTNERS' CAPITAL (DEFICIT)

     Accrued liabilities                      $     14,833     $      16,823

     Current payable to
      General Partner                                --                --

     Long-term payable to
      General Partner                            2,435,366         2,075,630

         Total Liabilities                       2,450,199         2,092,453

     Contingency (Note 7)

     Partners' Capital (Deficit):
       General Partner                             160,388           178,807
       Consenting Limited Partners                 210,434           206,681
       Nonconsenting Limited Partners           (2,195,062)       (1,992,702)
       Combining adjustment                           (476)            1,130

         Total Partners' Capital (Deficit)      (1,824,716)       (1,606,084)

     Total Liabilities and
       Partners' Capital (Deficit)            $    625,483     $     486,369
     </TABLE>
     [FN]
      The accompanying notes are an integral part of these financial statements.
<PAGE>

                                C&K 1981 FUND-B, LTD.
                            (A Texas Limited Partnership)
                               STATEMENTS OF OPERATIONS

     <TABLE>
     <CAPTION>

                                                 Year ended December 31,        
                                            1996          1995       1994  
     <S>                                 <C>           <C>          <C>
     Revenues:
      Oil and gas sales                  $ 692,163     $ 436,487    $ 486,768 
      Interest income                        2,183         2,247        4,420 

                                           694,346       438,734      491,188 

     Expenses:
      Lease operating                       93,465       113,699       95,931 
      Production tax                        78,060        45,476       45,069 
      Marketing deductions                  12,150        18,067       28,552 
      Depreciation, depletion and
       amortization                        142,488        66,473       64,675 
      General and administrative           295,851       301,224      307,256 
      Interest - Affiliated                202,999       191,206      144,770 

                                           825,013       736,145      686,253 

     Net loss                            $(130,667)    $(297,411)   $(195,065)

     Net income (loss) allocation:
      General Partner                       69,546     $ (35,269)   $  (7,315)
      Consenting Limited Partners            3,753       (53,930)     (44,776)
      Nonconsenting Limited Partners      (202,360)     (209,480)    (143,611)
      Combining adjustment                  (1,606)        1,268          637

     Net loss                            $(130,667)    $(297,411)   $(195,065)

     Net income (loss) per
      consenting limited
      partnership unit
      (2,751 outstanding)                $    1.36     $  (19.60)   $  (16.28)

     Net loss per nonconsenting
      limited partnership unit
      (982 outstanding)                  $ (206.07)    $ (213.32)   $ (146.24)
     </TABLE>
     [FN]

      The accompanying notes are an integral part of these financial statements.
<PAGE>

                                C&K 1981 FUND-B, LTD.
                            (A Texas Limited Partnership)
                 STATEMENTS OF CHANGES IN PARTNERS' CAPITAL (DEFICIT)

     <TABLE>
     <CAPTION>

                                                 Non-  
                                 Consenting   Consenting Combining    
                       General     Limited      Limited  Adjustment    
                       Partner    Partners     Partners   (Note 3)    Total
     <S>             <C>          <C>        <C>            <C>    <C>

     Balance at
      Jan. 1, 1994   $ 199,868    $375,387   $(1,639,611)   $(775) $(1,065,131)

     Contributions     218,025       --           --          --       218,025 
     Distributions    (206,619)    (70,000)       --          --      (276,619)
     Net income
       (loss)           (7,315)    (44,776)     (143,611)     637     (195,065)

     Balance at
      Dec. 31, 1994  $ 203,959   $ 260,611   $(1,783,222)   $(138) $(1,318,790)

     Contributions     196,608       --           --          --       196,608
     Distributions    (186,491)      --           --          --      (186,491)
     Net income
       (loss)          (35,269)    (53,930)     (209,480)   1,268     (297,411)

     Balance at
      Dec. 31, 1995  $ 178,807   $ 206,681   $(1,992,702)  $1,130  $(1,606,084)

     Contributions     213,033       --           --          --       213,033
     Distributions    (300,998)      --           --          --      (300,998)
     Net income
       (loss)           69,546       3,753      (202,360)  (1,606)     (130,667)

     Balance at
      Dec. 31, 1996  $ 160,388   $ 210,434   $(2,195,062)  $ (476)  $(1,824,716)
     </TABLE>
     [FN]

      The accompanying notes are an integral part of these financial statements.
<PAGE>

                                C&K 1981 FUND-B, LTD.
                            (A Texas Limited Partnership)
                               STATEMENTS OF CASH FLOWS

     <TABLE>
     <CAPTION>
                                                  Year Ended December 31,  
                                           1996          1995           1994
     <S>                               <C>           <C>            <C>
     Cash flows from
      operating activities:
      Net loss                         $(130,667)    $(297,411)     $(195,065)
      Adjustments to reconcile net
        loss to net cash provided by
        operating activities:
         Depreciation, depletion and
          amortization                   142,488        66,473         64,675
         Changes in operating assets
          and liabilities:
          (Decrease) Increase in
          accrued liabilities             (1,990)           23         16,800
          Net cash provided by (used in)
            operating activities           9,831      (230,915)      (113,590)

     Cash flows from investing activities:
      Additions to oil and gas
      properties and equipment          (279,419)         (666)      (171,281)
         Net cash used in investing
         activities                     (279,419)         (666)      (171,281)

     Cash flows from financing activities:
      Increase in payable to
       General Partner                   359,736       223,711        205,604 
      Decrease in distribution
       payable to Limited Partners          --           --             --    
      Distributions to
       Limited Partners                     --           --           (70,000)
      Distributions to
       General Partner                  (300,998)     (186,491)      (206,619)
      Contributions by
       General Partner                   213,033       196,608        218,025 

         Net cash provided by
           financing activities          271,771       233,828        147,010

     Net increase (decrease) in cash       2,183         2,247       (137,861)

     Cash at beginning of period          69,600        67,353        205,214

     Cash at end of period             $  71,783       $69,600      $  67,353
     </TABLE>
     [FN]

      The accompanying notes are an integral part of these financial statements.
<PAGE>

                                C&K 1981 FUND-B, LTD.
                            (A Texas Limited Partnership)
                            NOTES TO FINANCIAL STATEMENTS


     NOTE 1 -  ORGANIZATION AND SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

      Organization

          The C&K 1981 Fund-B, Ltd. (the "Partnership"), a Texas Limited
     Partnership, was organized on December 16, 1980, to acquire, explore,
     develop and operate onshore oil and gas properties in the United States and
     commenced operations on June 1, 1981.  Total initial Limited Partner
     contributions were $9,332,500 including $100,000 contributed by C&K
     Petroleum, Inc. ("C&K"), the initial General Partner.  On September 15,
     1982, C&K requested the Limited Partners to pay an additional assessment of
     $2,333,125, or 25%, of their initial contributions.  Of this amount, C&K
     paid $613,750 for 209 Limited Partners who declined to pay their share of
     the additional assessment ("Nonconsenting Limited Partners"). 
     Nonconsenting Limited Partners are subject to a penalty in an amount equal
     to 300% of the additional assessment paid by the General Partner.

          C&K, after several corporate reorganizations beginning in September of
     1984 and ending in December of 1991, was acquired by Ultramar Oil and Gas
     Limited "UOGL"), an indirect wholly-owned subsidiary of LASMO plc. 
     Effective November 18, 1992, UOGL was sold to Williams-Cody Limited
     Liability Company, a Wyoming limited liability company ("WCLLC"), owned by
     Williams Gas Management Company ("WGMan") and Cody Resources, Inc.
     ("CRI").  On January 1, 1993, UOGL changed its name to Williams-Cody, Inc.
     ("Williams-Cody").

          Effective May 1, 1993, Cody Company, a wholly owned subsidiary of The
     Gates Corporation, purchased the units of WCLLC owned by WGMan.  As a
     result of this acquisition, the unit holders of WCLLC are Cody Company and
     its wholly owned subsidiary, Cody Resources, Inc.  Subsequently, effective
     May 15, 1993, the name of Williams-Cody, Inc. was changed to CODY ENERGY,
     INC. ("CODY"), and the name of Williams-Cody Limited Liability Company was
     changed to Gates-Cody Energy Company, ("GCEC"), a Limited Liability
     Company.  CODY is the surviving corporation and, pursuant to the authority
     provided in the Partnership Agreement, manages and controls the
     Partnership's affairs and is responsible for the activities of the
     Partnership.

      Basis of Accounting

          The accounts of the Partnership are maintained on the accrual basis in
     accordance with accounting practices permitted for federal income tax
     reporting purposes.  In order to present the accompanying financial
     statements on the basis of generally accepted accounting principles for
     financial reporting purposes, adjustments have been made to account for oil
     and gas properties under the full cost method of accounting.

      Oil and Gas Properties

          The Partnership uses the full cost method of accounting for oil and
     gas properties in accordance with rules prescribed by the Securities and
     Exchange Commission ("SEC").  Under this method, all costs incurred in
     connection with the exploration for and development of oil and gas reserves
     are capitalized.  Such capitalized costs include lease acquisition,
     geological and geophysical work, delay rentals, drilling, completing and
     equipping oil and gas wells and other related costs together with costs
     applicable to CODY's technical personnel directly engaged in evaluating and
     maintaining oil and gas prospects and drilling oil and gas wells. 
     Maintenance and repairs are charged against income when incurred.  Renewals
     and betterments which extend the useful life of properties are capitalized.

          The capitalized costs of all oil and gas properties are depleted on a
     composite units-of-revenue method computed on a future gross revenue
     basis.  An additional depletion provision is made if the total
     capitalized costs of oil and gas properties exceed the "capitalization
     ceiling" which is calculated as the present value of future net revenues
     from estimated production of the Partnership's proved oil and gas reserves
     as furnished by independent petroleum engineers.

          Future gross revenues have been estimated using rules prescribed by
     the SEC.  Under these rules, year-end prices are utilized in determining
     future gross revenues.

      New Accounting Standard

          In March 1995, the Financial Accounting Standards Board issued
     Statement of Financial Accounting Standard No. 121, "Accounting for the
     Impairment of Long-Lived Assets and for Long-Lived Assets to be Disposed
     Of" (SFAS No. 121), which requires impairment losses to be recorded on
     long-lived assets used in operations when indications of impairment are
     present.  The Company adopted SFAS No. 121 during 1996, with no impact on
     its financial statements.

      Net Income (Loss) per Limited Partnership Unit

          Net income (loss) per limited partnership unit is computed by
     obtaining the Limited Partners net income (loss) (see Statements of Changes
     in Partners' Capital (Deficit)) and dividing by the total limited
     partnership units outstanding.

      Contributions and Distributions

          Contributions by the General Partner, as presented in the Statements
     of Changes in Partners' Capital (Deficit), represent amounts paid by the
     General Partner for its allocated share of the Partnership's costs and
     expenses.  Distributions to the General Partner represent amounts collected
     by the General Partner for its allocated share of the Partnership's
     revenues.  Distributions to Limited Partners represent periodic payments of
     available cash, as determined in accordance with the terms of the
     Partnership Agreement.

      Payable to the General Partner

          The long-term payable to the General Partner is the Nonconsenting
     Limited Partners' obligation to the General Partner for their share of
     costs, arising from Partnership operations, which are funded entirely by
     the General Partner.  The current portion of the liability includes the
     amount estimated to be collectible from the Nonconsenting Limited Partners'
     net operating revenues over the current operating cycle (one year) and
     certain other amounts due from the Consenting Limited Partners.

      Revenue Recognition

          The Partnership recognizes oil and gas revenues for only its ownership
     percentage of total production under the entitlement method.  Purchase,
     sale and transportation of natural gas and crude oil are recognized upon
     completion of the sale and when transported volumes are delivered.

      Concentration of Credit Risk

          Financial instruments which subject the Partnership to concentrations
     of credit risk consist principally of trade receivables.  The Partnership's
     policy is to evaluate, prior to entering agreements, each purchaser's
     financial condition.  The Partnership sells to purchasers with different
     geographic and economic characteristics.
     n
      Use of Estimates

          The preparation of the Partnership's financial statements in
     conformity with generally accepted accounting principles necessarily
     requires management to make estimates and assumptions that affect the
     reported amounts of assets and liabilities and disclosure of contingent
     assets and liabilities at the balance sheet dates and the reported amounts
     of revenues and expenses during the reporting periods.  Actual results
     could differ from those estimates.

      Reclassifications

          Certain amounts from prior years have been reclassified to be
     consistent with the financial statement presentation for 1996.  Such
     reclassifications had no effect on net income.


     NOTE 2 - SALES TO MAJOR CUSTOMERS


          Sales to major customers are summarized in the table below:
     <TABLE>
     <CAPTION>

        Purchasers           1996               1995            1994
                           Sales     %        Sales  %      Sales    %
     <S>                <C>         <C>    <C>       <C>    <C>       <C>
     Enron Capital and
       Trading          $214,149    31     $  --     --     $ --      --
     Texaco Trading and
       Transportation    329,095    48      312,958  72      277,630  57
     Williams Gas 
       Marketing         105,689    15       74,178  17       93,742  19
     </TABLE>

          Since June 1, 1993, Williams Gas Marketing purchased all of the
     Partnership's natural gas production under an agreement that calls for
     market responsive prices which are tied to a published index.  The
     Partnership remains responsible for all costs related to production,
     gathering, processing or severance of the gas prior to Delivery Point. 
     These costs have been recorded as marketing deductions in the financial
     statements.


     NOTE 3 - ALLOCATION OF PARTNERSHIP REVENUES, COSTS AND EXPENSES

          The Partnership Agreement provides that revenues, costs and expenses
     shall be allocated to the partners as follows:
     <TABLE>
     <CAPTION>

                                                           Limited   General
                                                          Partners   Partner
     REVENUES
       <S>                                                   <C>         <C>
       Sales of Production   . . . . . . . . . . . . . . . . 50%         50%
       Sale of Equipment   . . . . . . . . . . . . . . . . . 50          50
       Interest Income   . . . . . . . . . . . . . . . . . . 99           1 

     COSTS AND EXPENSES
       Organization and Offering Expenses Other than
         Sales Commissions . . . . . . . . . . . . . . . . .  0         100 
       Leasehold Acquisition Costs   . . . . . . . . . . . .  0         100 
       Subsequent Leasehold Acquisition Costs  . . . . . . . 50          50 
       Intangible Drilling Costs   . . . . . . . . . . . . . 99           1 
       Tangible Drilling and Completion Costs Relating
         to Commercially Productive Wells  . . . . . . . . .  0         100 
       Post-Completion Costs   . . . . . . . . . . . . . . . 50          50 
       Operating Costs   . . . . . . . . . . . . . . . . . . 50          50 
       Special Costs   . . . . . . . . . . . . . . . . . . . 99           1 
       General and Administrative Expenses   . . . . . . . . 50          50 
     </TABLE>

          As discussed in Note 1, the General Partner paid $613,750 of the
     additional assessment for 209 Limited Partners (the Nonconsenting Limited
     Partners) who declined to pay their share of the additional assessment. 
     Each such Nonconsenting Limited Partner's interest in the costs and
     revenues of the Assessment Operations was suspended and accrues to the
     benefit of the General Partner until Partnership revenues, less expenses,
     related to the production of such revenues attributable to the Assessment
     Operations, in an amount equal to 300% ($1,841,250) of the additional
     assessment have been credited to the General Partner.  As of December 31,
     1996, $1,006,002 of revenue in excess of expenses has been allocated to the
     General Partner.

          The depreciation, depletion and amortization provision is calculated
     based on discrete calculations utilizing the Partnership's and the
     partners' share of the related capital costs and estimated future net
     revenues.  For financial statement purposes, each partner's provision has
     been increased by the amount that his share of unamortized costs exceeded
     the capitalization ceiling.  During 1996, 1995 and 1994, the net
     capitalized costs of the Partnership's oil and gas properties did not
     exceed the capitalization ceiling.

          The combining adjustment included in partners' capital of $(476) and
     $1,130 at December 31, 1996 and 1995, respectively, represents the
     difference resulting from computing the full cost ceiling test on the total
     partnership basis, which is used for financial reporting purposes, and the
     limited partners and general partner basis.  The adjustment is an
     allocation of partners' capital and does not affect income.


     NOTE 4 - PURCHASE OF LIMITED PARTNERS' INTERESTS

          The Limited Partners may require the General Partner to purchase up to
     ten percent of their interests annually.  In addition to the 40 units
     purchased by the General Partner for their initial capital contribution, a
     total of 1,359.50 units had been purchased from Limited Partners as of
     December 31, 1995.

          At January 1, 1996, the General Partner calculated a purchase price of
     $124.58 per unit for those Limited Partners who paid the additional
     assessment ("Consenting Limited Partners").  One hundred sixteen Consenting
     Limited Partner units were purchased for a total of $14,451.28 in 1996 from
     forty-one Consenting Limited Partners.  The purchase price calculations for
     the Nonconsenting Limited Partners have not resulted in positive amounts
     and, therefore, the General Partner has not offered to purchase such units
     during 1996.  At December 31, 1996, the General Partner owned a total of
     1,515.50 Consenting Limited Partnership units.


     NOTE 5 - SIGNIFICANT TRANSACTIONS WITH RELATED PARTIES

          The General Partner is reimbursed for administrative and overhead
     costs incurred in conducting the business of the Partnership.  Such
     reimbursements have been the maximum allowed under the terms of the
     Partnership Agreement and were $279,975 in 1996, 1995 and 1994.

          No cash distributions were made during 1996 or 1995.  In 1994, the
     Partnership made a cash distribution of $70,000 to the Consenting Limited
     Partners for their proportionate share of cash funds credited to their
     capital accounts which was in excess of the amounts necessary to meet such
     Partners' share of the existing or future obligations of the Partnership.

          After such time as total contributions from the Limited Partners have
     been expended, the General Partner may advance funds to the Limited
     Partners for their share of costs and expenses for continuing operations. 
     Interest was charged to the Limited Partners on such advances at a rate
     which approximated 9%, 10%, and 8% in 1996, 1995 and 1994, respectively. 
     The General Partner is reimbursed for funds advanced to the Limited
     Partners from revenues otherwise allocable to the Limited Partners.


     NOTE 6 - INCOME TAXES

          Income taxes are not levied at the Partnership level, but rather on
     the individual partners; therefore, no provision or liability for federal
     and state income taxes has been reflected in the accompanying financial
     statements.  The tax returns, the qualification of the Partnership as a
     partnership for tax purposes, and the amount of the Partnership's income or
     loss is subject to examination by federal and state tax authorities.  If
     such examinations result in changes with respect to the Partnership's
     qualifications or in changes in the Partnership's income or loss, the tax
     liability of the partners could be changed accordingly.

          Set forth below is a reconciliation between net income for financial
     and federal income tax reporting purposes for the years ended December 31,
     1996, 1995, and 1994.
     <TABLE>
     <CAPTION>
      
                                                   Year ended December 31,     
                                              1996        1995         1994
     <S>                                      <C>        <C>         <C>

     Net loss for financial
      reporting purposes                      $(130,667) $(297,411)  $(195,065)
      Increase (decrease) in taxable net
        income resulting from:

        Depreciation, depletion and
        amortization for financial
        reporting purposes not deductible
        for income tax purposes                 142,488     66,473      64,675

        Depreciation of oil and gas
        properties for income tax
        purposes not included as expenses
        for financial reporting purposes         (8,453)    (8,680)     (7,328)

        Oil and gas exploration and
        development costs capitalized for
        financial reporting purposes but
        deducted for income tax purposes       (256,172)         (666) (142,360)

        Net gain on sale of equipment              --          --          499 

     Net loss as reported for federal
      income tax purposes                     $(252,804) $(240,284)  $(279,579)

     Net income (loss) as reported for
      federal income tax purposes
      applicable to the General Partner       $ 110,816  $ (14,585)  $ (24,425)

     Net loss as reported for federal
      income tax purposes applicable
      to Consenting Limited Partners          $(112,702) $ (22,953)  $(104,286)

     Net loss as reported for federal
      income tax purposes applicable
      to Nonconsenting Limited Partners       $(250,918) $(202,746)  $(150,868)
     </TABLE>


     NOTE 7 - CONTINGENCY

          The Partnership has a net capital deficiency.  As a result of the
     deficit capital position of the Nonconsenting Limited Partners, all net
     cash flows attributable to the Nonconsenting Limited Partners' share of the
     Partnership's operations are presently applied entirely against their
     indebtedness for past advances by the General Partner and are not available
     to fund Partnership needs.  Funds required by the Partnership in excess of
     those generated by the operations attributable to different partner
     interests will be advanced by the General Partner.

          The General Partner is currently considering either transferring its
     limited partner and general partner interests in the Partnership,
     withdrawing as general partner of the Partnership, or taking other actions
     to reduce its responsibilities in the Partnership, which could lead to the
     ultimate dissolution of the Partnership.  These conditions raise
     substantial doubt about the Partnership's ability to continue as a going
     concern.  As long as CODY remains the General Partner of the Partnership,
     GCEC intends to continue advancing funds required by the Partnership in
     excess of those generated by operations, through CODY.  The 1996 financial
     statements do not include any adjustments that might result from the
     outcome of this uncertainty.


     NOTE 8 - SUPPLEMENTAL DATA OF OIL AND GAS OPERATIONS

      Costs Incurred in Oil and Gas Property Acquisition, Exploration and
     Development Activities
     <TABLE>
     <CAPTION>
                                            Year Ended December 31, 
                                       1996            1995            1994
     <S>                            <C>             <C>           <C>
     Property Acquisition Costs     $   --          $    --       $     --     
     Exploration Costs                  --               --             --     
     Development Costs               279,419              666          171,281

      Total costs                   $279,419        $     666     $    171,281


      Results of Operations from Oil and Gas Producing Activities
     
</TABLE>
<TABLE>
     <CAPTION>
                                             Year Ended December 31,
                                       1996           1995              1994
     <S>                            <C>            <C>            <C>
     Revenues                       $692,163       $ 436,487      $    486,768
     Production (lifting) costs     (171,525)       (159,175)         (141,000)
     Depreciation, depletion and
      amortization                  (142,488)        (66,473)          (64,675)

     Results of operations from oil 
      and gas producing activities   378,150       $ 210,839      $    281,093

     Depreciation, depletion and
      amortization per dollar of
      gross revenues                $   0.21       $    0.15      $       0.13
     </TABLE>


      Capitalized Costs Relating to Oil and Gas Producing Properties

     <TABLE>
     <CAPTION>
                                                     December 31,
                                       1996           1995             1994
     <S>                            <C>           <C>             <C>
     Proved properties              $22,969,498   $ 22,690,079    $ 22,689,413 
     Accumulated depreciation,
      depletion and amortization    (22,415,798)   (22,273,310)    (22,206,837)

      Net capitalized costs         $   553,700   $    416,769    $    482,576 
     </TABLE>


      Estimated Oil and Gas Reserve Quantities (Unaudited)

          The following is an analysis of the Partnership's interest in net
     quantities of proved oil and gas reserves which are all located in onshore
     areas of the United States.  Quantities are based on estimates of proved
     reserves furnished by Netherland, Sewell and Associates, Inc., independent
     petroleum engineers, pursuant to rules set by the Securities and Exchange
     Commission.  Estimates of proved reserves are inherently imprecise and are
     even more imprecise for newly discovered reserves than for reserves with
     long production histories.  As a result, subsequent development and
     production of the Partnership's reserves may result in revisions of such
     estimates.

          Certain information related to the standardized measure of oil and gas
     reserves has not been included in the supplemental data on oil and gas
     operations.  The General Partner has elected the exclusion available to
     limited partnerships when such reserve information is provided annually to
     the Limited Partners.  The supplemental reserve information is provided to
     the Limited Partners on an annual basis.

     <TABLE>
     <CAPTION>
                                               Total Proved Reserves
                                               Oil              Gas
                                            (In BBLS)        (In MCF) 

     <S>                                      <C>            <C>
       As of December 31, 1993                120,473        1,027,980 

       Revisions of previous estimates         17,461         (192,266)
       Extensions, discoveries & purchases      2,982          182,971 
       Production                             (23,780)         (65,077)

       As of December 31, 1994                117,136          953,608 

       Revisions of previous estimates         20,000         (416,965)
       Production                             (19,931)         (67,556)

       As of December 31, 1995                117,205          469,087

       Extensions, Discoveries and Purchases    4,098            4,753
       Revisions of previous estimates        (11,609)         (39,452)
       Production                             (26,203)         (58,097)

       As of December 31, 1996                 83,491          376,291
     </TABLE>

          The natural gas volumes (mcf) of 376,291 as of December 31, 1996,
     disclosed above, include 113,190 equivalent mcf related to plant products.
<PAGE>

                                      SIGNATURES


          Pursuant to the requirements of Section 13 or 15(d) of the Securities
     Exchange Act of 1934, Registrant has duly caused this Annual Report to be
     signed on its behalf by the undersigned, thereunto duly authorized.





     Dated:   March 26, 1997              C&K 1981 Fund-B, Ltd.
                                          (Registrant)


                                         By:/s/ Charles C. Gates
                                            Charles C. Gates
                                            Chairman of the Board






          Pursuant to the requirements of the Securities Exchange Act of 1934,
     this report has been signed below by the following persons, which include
     the Chief Executive Officer, the Chief Financial Officer, the Chief
     Accounting Officer and a majority of the Board of Directors, on behalf of
     the Registrant and in the capacities and on the date above indicated:




     /s/ Diane Gates Wallach                /s/ Brown W. Cannon, Jr.
     Diane Gates Wallach                    Brown W. Cannon, Jr.
     Director & Secretary                   Director




     /s/ Brad Fisher                        /s/ Dan R. Taylor
     Brad Fisher                            Dan R. Taylor
     Senior Vice President, Operations      Vice President, Accounting & Finance
<PAGE>

<TABLE> <S> <C>

<ARTICLE> 5
       
<S>                             <C>
<PERIOD-TYPE>                   YEAR
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               DEC-31-1996
<CASH>                                          71,783
<SECURITIES>                                         0
<RECEIVABLES>                                        0
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                71,783
<PP&E>                                      22,969,498
<DEPRECIATION>                              22,415,798
<TOTAL-ASSETS>                                 625,483
<CURRENT-LIABILITIES>                           14,833
<BONDS>                                              0
                                0
                                          0
<COMMON>                                             0
<OTHER-SE>                                 (1,824,716)
<TOTAL-LIABILITY-AND-EQUITY>                   625,483
<SALES>                                        692,163
<TOTAL-REVENUES>                               694,346
<CGS>                                                0
<TOTAL-COSTS>                                  825,013
<OTHER-EXPENSES>                                     0
<LOSS-PROVISION>                               130,667
<INTEREST-EXPENSE>                             202,999
<INCOME-PRETAX>                                      0
<INCOME-TAX>                                         0
<INCOME-CONTINUING>                                  0
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                         0
<EPS-PRIMARY>                                        0
<EPS-DILUTED>                                        0
        

</TABLE>


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