BECK MACK & OLIVER LLC
SC 13G/A, 1998-02-03
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UNITED STATES  
SECURITIES AND EXCHANGE COMMISSION  
Washington, DC  20549  
OMB APPROVAL  
OMB Number:  3235-0145  
Expires:  December 31, 1997  
Estimated Average Burden  
hours per Response   14.90  
  
SCHEDULE 13-G  
  
Under the Securities Exchange Act of 1934  
(Amendment No._______)*  
  
Mesa Royalty Trust
(Name of Issuer)  
	  
Units of Beneficial Interest
(Title of Class of Securities)  
  
590660106
(CUSIP Number)  
  
  
  
Check the following box if a fee is being paid with this statement. (A fee is
not required only if the filling person: (1) has a previous statement on file re
porting benenfical ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment
subsequent thereto reporting beneficial ownership of five percent or less of
such class.)  (See Rule 13d-7).  
  
*  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 sbsequent amendment containing information which
would alter the disclosures provided in a prior cover page.  
  
The information required in the remainder of theis 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 hsall be subject to all other
 provisions of the Act (however, see the  Notes).  
  
  
  
  

SEC 1745  (2-95) 
CUSIP No. 590660106
				13-G			
  
  
1     	NAME OF REPORTING PERSON  
	SS or IRS IDENTIFICATION NO OF ABOVE PERSON  
  
	Beck, Mack & Oliver LLC  
	13-0477010  
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*  
  
										(a)  [__]  
										(b)  [__]  
3	SEC USE ONLY  
  
  
4	CITIZENSHIP OR PLACE OF ORGANIZATION  
  
	New York  
  
  
NUMBER OF		5	SOLE VOTING POWER  
SHARES					-0-  
BENEFICIALLY		6	SHARED VOTING POWER  
OWNED BY					-0-  
EACH				7	SOLE DISPOSITIVE POWER  
REPORTING					-0-  
PERSON			8	SHARED DISPOSITIVE POWER  
WITH						288,290 SHARES
  
  
  
9	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING  
PERSON  	288,290 SHARES
  
10	CHECK BOX IF THE AGGREGATE AMOUNT IN ROM (9) EXCLUDES  
CERTAIN SHARES*  
  
  
11	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
        15.47%  
  
12	TYPE OF REPORTING PERSON *   
	1A  
  

General Instructions:

Item 1

a.  Name of Issuer Mesa Royalty Trust
b.  Address of Issuer:  c/o Texas Commerce Bank NA, Corporate Trust Division
712 Main Street, Houston, TX  77002

Item 2

Name of Company Filing

a.  Beck, Mack & Oliver
b.  330 Madison Avenue,New York, NY  10017-5001 
c.  New York
d.  Units of Beneficial Interest
e.  Cusip# 590660106
 
Item 3

Investment Advisor

Item 4

a.  Amount Benefically owned 288,290 shares
b.  Percent of Class  15.47%
c.  (i) (ii) (iii)  N/A
    (iv)  288,290 shares

Item 5

NA

Item 6

Ownership of more than five percent on behalf of another person

The securities covered by this statement are owned by investment
advisory clients of Beck, Mack & Oliver LLC.  These clients have
the right to recieve or the power to direct the receipt of
dividends from, or the proceeds from the sale of, such securities.
No one of these clients owns more than 5% of such class of securities.

Item 7

N/A

Item 8

N/A

Item 9

N/A

Item 10

We are filing electronically, not manually, therefore we are no supplying a 
signature area.


   



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