MESA ROYALTY TRUST/TX
SC 13D/A, 1998-10-27
OIL ROYALTY TRADERS
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                        SECURITIES AND EXCHANGE COMMISSION
                              Washington, D.C. 20549

                                  Schedule 13D**

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 10)*

                                Mesa Royalty Trust
                                 (Name of Issuer)

                           Units of Beneficial Interest
                          (Title of Class of Securities)

                                    590660106
                                  (Cusip Number)

                                J. Taylor Crandall
                           201 Main Street, Suite 3100
                             Fort Worth, Texas 76102
                                  (817) 390-8500
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                 October 22, 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-1(e), 13d-1(f) or 13d-1(g), check the
following box [ ].

*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).

**The total number of units reported herein is 724,500 units, which constitutes
approximately 38.9% of the total number of units outstanding.  All ownership
percentages set forth herein assume that there are 1,863,590 units outstanding.
<PAGE>
<PAGE>
1.   Name of Reporting Person:

     Alpine Capital, L.P.

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only

4.   Source of Funds: WC

5.   Check box if Disclosure of Legal Proceedings is Required Pursuant to Items
     2(d) or 2(e):
                                                  /   /

6.   Citizenship or Place of Organization: Texas


               7.   Sole Voting Power: 674,716 (1)
Number of
Units
Beneficially   8.   Shared Voting Power: -0-
Owned By
Each
Reporting      9.   Sole Dispositive Power: 674,716 (1)
Person
With
               10.  Shared Dispositive Power: -0-

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     674,716

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /


13.  Percent of Class Represented by Amount in Row (11):  36.2%


14.  Type of Reporting Person: PN

- ------------
(1)  Power is exercised through its two general partners, Robert W. Bruce III
     and Algenpar, Inc.
<PAGE>
<PAGE>
1.   Name of Reporting Person:

     Robert W. Bruce III

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only

4.   Source of Funds: Not Applicable

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: -0- 
Number of
Units
Beneficially   8.   Shared Voting Power: 724,500 (1)
Owned By
Each
Reporting      9.   Sole Dispositive Power: -0-
Person
With
               10.  Shared Dispositive Power: 724,500 (1)

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     724,500 (1)

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /

13.  Percent of Class Represented by Amount in Row (11):  38.9%

14.  Type of Reporting Person: IN
- -------------
(1)  Solely in his capacity as one of two general partners of Alpine Capital,
     L.P., with respect to 674,716 units, and in his capacity as a principal of
     The Robert Bruce Management Co., Inc., which has shared investment
     discretion over units owned by The Anne T. and Robert M. Bass Foundation,
     with respect to 49,784 units.
<PAGE>
<PAGE>
1.   Name of Reporting Person:

     Algenpar, Inc.

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only


4.   Source of Funds: Not Applicable

5.   Check box if Disclosure of Legal Proceedings is Required Pursuant to Items
     2(d) or 2(e):
                                                  /   /

6.   Citizenship or Place of Organization: Texas


               7.   Sole Voting Power: -0-
Number of
Units
Beneficially   8.   Shared Voting Power: 674,716 (1)(2)
Owned By
Each
Reporting      9.   Sole Dispositive Power: -0-
Person
With
               10.  Shared Dispositive Power: 674,716 (1)(2)

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     674,716 (2)

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /

13.  Percent of Class Represented by Amount in Row (11):  36.2%

14.  Type of Reporting Person: CO

- ------------
(1)  Power is exercised through its President, J. Taylor Crandall.
(2)  Solely in its capacity as one of two general partners of Alpine Capital,
     L.P.

<PAGE>
<PAGE>
1.   Name of Reporting Person:

     J. Taylor Crandall

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only


4.   Source of Funds: Not Applicable

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: -0-
Number of
Units
Beneficially   8.   Shared Voting Power: 724,500 (1)
Owned By
Each
Reporting      9.   Sole Dispositive Power: -0-
Person
With
               10.  Shared Dispositive Power: 724,500 (1)

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     724,500 (1)

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /

13.  Percent of Class Represented by Amount in Row (11): 38.9% 


14.  Type of Reporting Person: IN

- ------------
(1)  Solely in his capacity as President and sole stockholder of Algenpar,
     Inc., which is one of two general partners of Alpine Capital, L.P., with
     respect to 674,716 units, and in his capacity as a director of The Anne T.
     and Robert M. Bass Foundation, with respect to 49,784 units.

<PAGE>
<PAGE>
1.   Name of Reporting Person:

     The Anne T. and Robert M. Bass Foundation

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only


4.   Source of Funds: Working Capital

5.   Check box if Disclosure of Legal Proceedings is Required Pursuant to Items
     2(d) or 2(e):

                                                  /   /


6.   Citizenship or Place of Organization: Texas


               7.   Sole Voting Power:  49,784 (1)
Number of
Units
Beneficially   8.   Shared Voting Power: -0-
Owned By
Each
Reporting      9.   Sole Dispositive Power:  49,784 (1)
Person
With
               10.  Shared Dispositive Power: -0-

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     49,784 

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /

13.  Percent of Class Represented by Amount in Row (11):  2.7% 

14.  Type of Reporting Person: CO
- ------------
(1)  Power is exercised through its three directors, Anne T. Bass, Robert M.
     Bass and J. Taylor Crandall and through Robert W. Bruce III in his
     capacity as a principal of The Robert Bruce Management Co., Inc., which
     has shared investment discretion over units owned by The Anne T. and
     Robert M. Bass Foundation.

<PAGE>
<PAGE>
1.   Name of Reporting Person:

     Anne T. Bass

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only


4.   Source of Funds: Not Applicable

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: -0-
Number of
Units
Beneficially   8.   Shared Voting Power:  49,784 (1)
Owned By
Each
Reporting      9.   Sole Dispositive Power: -0-
Person
With
               10.  Shared Dispositive Power:  49,784 (1)

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     49,784 (1)

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /


13.  Percent of Class Represented by Amount in Row (11):  2.7%


14.  Type of Reporting Person: IN

- ------------
(1)  Solely in her capacity as a director of The Anne T. and Robert M. Bass
     Foundation.

<PAGE>
<PAGE>
1.   Name of Reporting Person:

     Robert M. Bass

2.   Check the Appropriate Box if a Member of a Group:

                                                  (a) /   /

                                                  (b) / X /

3.   SEC Use Only


4.   Source of Funds: Not Applicable

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: -0-
Number of
Units
Beneficially   8.   Shared Voting Power:  49,784 (1)
Owned By
Each
Reporting      9.   Sole Dispositive Power: -0-
Person
With
               10.  Shared Dispositive Power:  49,784 (1)

11.  Aggregate Amount Beneficially Owned by Each Reporting Person:

     49,784 (1)

12.  Check Box if the Aggregate Amount in Row (11) Excludes Certain Units:

                                                  /   /


13.  Percent of Class Represented by Amount in Row (11):  2.7%


14.  Type of Reporting Person: IN

- ------------
(1)  Solely in his capacity as a director of The Anne T. and Robert M. Bass
     Foundation.

<PAGE>
<PAGE>
     Pursuant to Rule 13d-2(a) of Regulation 13D-G of the General Rules and
Regulations under the Securities Exchange Act of 1934, as amended (the "Act"),
the undersigned hereby amend their Schedule 13D Statement dated June 25, 1993,
as amended by Amendment No. 1 dated February 24, 1994, Amendment No. 2 dated
August 30, 1994, Amendment No. 3 dated August 10, 1995, Amendment No. 4 dated
November 10, 1995, Amendment No. 5 dated December 15, 1995, Amendment No. 6
dated January 8, 1996, Amendment No. 7 dated February 22, 1996, Amendment No.
8 dated May 15, 1996 and Amendment No. 9 dated July 19, 1996 (as amended, the
"Schedule 13D"), relating to the Units of Beneficial Interest of Mesa Royalty
Trust.

Item 1.   SECURITY AND ISSUER.

     No material change.

Item 2.   IDENTITY AND BACKGROUND.

     No material change.

Item 3.   SOURCE AND AMOUNT OF FUNDS OR OTHER CONSIDERATION.

Item 3 is hereby amended in its entirety as follows:

     The source and amount of the funds used by the Reporting Persons to
purchase Units are as follows:

REPORTING PERSON     SOURCE OF FUNDS        AMOUNT OF FUNDS

     Alpine          Working Capital(1)     $26,657,200.66

     Bruce           Not Applicable         Not Applicable

     Algenpar        Not Applicable         Not Applicable

     Crandall        Not Applicable         Not Applicable

     Foundation      Working Capital(1)     $ 1,942,776.54

     A. Bass         Not Applicable         Not Applicable

     R. Bass         Not Applicable         Not Applicable

     (1)  As used herein, the term "Working Capital" includes income from the
business operations of the entity plus sums borrowed from banks and brokerage
firm margin accounts to operate such business in general.  None of the funds
reported herein as"Working Capital" were borrowed or otherwise obtained for the
specific purpose of acquiring, handling, trading or voting the Stock.

Item 4.   PURPOSE OF TRANSACTION.

     No material change.

Item 5.   INTEREST IN SECURITIES OF THE ISSUER.

     Item 5 is hereby amended and restated in its entirety as follows:

     (a)

     ALPINE

     The aggregate number of Units that Alpine owns beneficially, pursuant to
Rule 13d-3(d)(1)(i) of the Act, is 674,716, which constitutes approximately
36.2% of the outstanding Units.

     BRUCE

     Because of his position as one of two general partners of Alpine and as
principal of Bruce Management (which has shared investment discretion over the
Units owned by the Foundation), Bruce may, pursuant to Rule 13d-3 of the Act,
be deemed to be the beneficial owner of 724,500 Units, which constitutes
approximately 38.9% of the outstanding Units.

     ALGENPAR

     Because of its position as one of two general partners of Alpine, Algenpar
may, pursuant to Rule 13d-3 of the Act, be deemed to be the beneficial owner of
674,716 Units, which constitutes approximately 36.2% of the outstanding Units.
     
     CRANDALL

     Because of his positions as President and sole stockholder of Algenpar, one
of two general partners of Alpine, and a director of Foundation, Crandall may,
pursuant to Rule 13d-3 of the Act, be deemed to be the beneficial owner of
724,500 Units, which constitutes approximately 38.9% of the outstanding Units.

     FOUNDATION

     The aggregate number of Units that Foundation owns beneficially, pursuant
to Rule 13d-3(d)(1)(i) of the Act, is 49,784, which constitutes approximately
2.7% of the outstanding Units.

     A. BASS

     Because of her position as a director of Foundation, A. Bass may, pursuant
to Rule 13d-3 of the Act, be deemed to be the beneficial owner of 49,784 Units,
which constitutes approximately 2.7% of the outstanding Units.

     R. BASS

     Because of his position as a director of Foundation, R. Bass may, pursuant
to Rule 13d-3 of the Act, be deemed to be the beneficial owner of 49,784 Units,
which constitutes approximately 2.7% of the outstanding Units.

     To the best of the knowledge of each of the Reporting Persons, other than
as set forth above, none of the persons named in Item 2 herein is the beneficial
owner of any Units.

     (b)

     ALPINE

     Acting through its two general partners, Alpine has the sole power to vote
or to direct the vote and to dispose or to direct the disposition of 674,716
Units.

     BRUCE

     As one of two general partners of Alpine, Bruce has shared power to vote
or to direct the vote and to dispose or to direct the disposition of 674,716
Units.  As principal of Bruce Management (which exercises shared investment
discretion over the Units owned by the Foundation), Bruce has shared power to
vote or to direct the vote and to dispose or to direct the disposition of 49,784
Units. 

     ALGENPAR

     As one of two general partners of Alpine, Algenpar has shared power to vote
or to direct the vote and to dispose or to direct the disposition of 674,716
Units.

     CRANDALL

     As the President and sole stockholder of Algenpar, which is one of two
general partners of Alpine, Crandall has shared power to vote or to direct the
vote and to dispose or to direct the disposition of 674,716 Units.  As one of
three directors of Foundation, Crandall has shared power to vote or to direct
the vote and to dispose or to direct the disposition of 49,784 Units. 

     FOUNDATION

     Acting through its three directors and Bruce (as principal of Bruce
Management which exercises shared investment discretion over the Units owned by
the Foundation), Foundation has the sole power to vote or to direct the vote and
to dispose or to direct the disposition of 49,784 Units.

     A. BASS

     As one of three directors of Foundation, A. Bass has shared power to vote
or to direct the vote and to dispose or to direct the disposition of 49,784
Units.

     R. BASS

     As one of three directors of Foundation, R. Bass has shared power to vote
or to direct the vote and to dispose or to direct the disposition of 49,784
Units.

     (c)  On October 22, 1998, Alpine purchased 5,200 Units at a price per share
of $42.05 in an open market transaction on the New York Stock Exchange.

     Except as set forth in this paragraph (c), to the best of the knowledge of
each of the Reporting Persons, none of the persons named in response to
paragraph (a) has effected any transactions in the Units in the last 60 days. 

     (d)- (e)

     No material change.

Item 6.   CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OR RELATIONSHIPS WITH RESPECT
          TO SECURITIES OF THE ISSUER.

     No material change.

Item 7.   MATERIAL TO BE FILED AS EXHIBITS.

     Exhibit 99.1 -- Agreement pursuant to Rule 13d-1(k)(1)(iii). 

<PAGE>
<PAGE>
     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:  October 27, 1998

                                  ALPINE CAPITAL, L.P.

                                  By: /s/ Robert W. Bruce III
                                      Robert W. Bruce III,
                                      Manager

                                  /s/ Robert W. Bruce          
                                  ROBERT W. BRUCE III

                                  ALGENPAR, INC.

                                  By: /s/ J. Taylor Crandall 
                                      J. Taylor Crandall,
                                      President


                                  /s/ J. Taylor Crandall     
                                  J. TAYLOR CRANDALL

                                   /s/ W. R. Cotham                           
                                  W. R. Cotham, 
                                  Attorney-in-Fact for:

                                  THE ANNE T. AND ROBERT M.
                                    BASS FOUNDATION (1)
                                  ANNE T. BASS (2)
                                  ROBERT M. BASS (3)

(1)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     The Anne T. and Robert M. Bass Foundation previously has been filed with
     the Securities and Exchange Commission.

(2)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     Anne T. Bass previously has been filed with the Securities and Exchange
     Commission.

(3)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     Robert M. Bass previously has been filed with the Securities and Exchange
     Commission.



                                   Exhibit 99.1

     Pursuant to Rule 13d-1(k)(1)(iii) of Regulation 13D-G of the General
Rules and Regulations of the Securities and Exchange Commission under the
Securities Exchange Act of 1934, as amended, the undersigned agrees that the
statement to which this Exhibit is attached is filed on behalf of each of them
in the capacities set forth below.


                                  ALPINE CAPITAL, L.P.


                                  By: /s/ Robert W. Bruce III
                                      Robert W. Bruce III,
                                      Manager


                                  /s/ Robert W. Bruce III    
                                  ROBERT W. BRUCE III

                                  ALGENPAR, INC.


                                  By: /s/ J. Taylor Crandall 
                                      J. Taylor Crandall,
                                      President


                                  /s/ J. Taylor Crandall     
                                  J. TAYLOR CRANDALL


                                   /s/ W. R. Cotham                           
                                  W. R. Cotham, 
                                  Attorney-in-Fact for:

                                  THE ANNE T. AND ROBERT M.
                                    BASS FOUNDATION (1)
                                  ANNE T. BASS (2)
                                  ROBERT M. BASS (3)

(1)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     The Anne T. and Robert M. Bass Foundation previously has been filed with
     the Securities and Exchange Commission.  

(2)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     Anne T. Bass previously has been filed with the Securities and Exchange
     Commission. 

(3)  A Power of Attorney authorizing W. R. Cotham, et al., to act on behalf of
     Robert M. Bass previously has been filed with the Securities and Exchange
     Commission. 



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