United States
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


   
                                   FORM 10-QSB/A
    


              [X] QUARTERLY REPORT UNDER SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                  For the quarterly period ended June 30, 1996

                                       OR

             [ ] TRANSITION REPORT UNDER SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

         For the transition period from...............to...............

                         Commission file number 0-16574

               ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.
        (Exact name of small business issuer as specified in its charter)

                        New Jersey                           76-0214443
            (State or other jurisdiction of               (I.R.S. Employer
             incorporation or organization)              Identification No.)

                         Suite 200, Three Kingwood Place
                              Kingwood, Texas 77339
                    (Address of principal executive offices)

                           Issuer's telephone number:
                                 (713) 358-8401

         Check whether the issuer (1) filed all reports  required to be filed by
Section 13 or 15(d) of the  Exchange  Act during the past 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.

                                    Yes  X No

Transitional Small Business Disclosure Format (Check one):

                                    Yes   No X


<PAGE>


                              PART I. FINANCIAL INFORMATION

Item 1. Financial Statements
<TABLE>
<CAPTION>

ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.
BALANCE SHEET
------------------------------------------------------------------------------------

                                                                   JUNE 30,
ASSETS                                                               1996
                                                               ---------------
                                                                  (Unaudited)
CURRENT ASSETS:
<S>                                                            <C>
  Cash                                                         $        5,015
  Accounts receivable - oil & gas sales                                39,404
  Other current assets                                                 44,961
                                                               ---------------

Total current assets                                                   89,380
                                                               ---------------

OIL & GAS PROPERTIES
  (Successful efforts accounting method) - Proved
   mineral interests and related equipment & facilities             2,754,315
  Less  accumulated depreciation and depletion                      2,516,260
                                                               ---------------

Property, net                                                         238,055
                                                               ---------------


TOTAL                                                          $      327,435
                                                               ===============

LIABILITIES AND PARTNERS' CAPITAL

CURRENT LIABILITIES:
   Accounts payable                                            $       36,184
   Payable to general partner                                          27,520
                                                               ---------------

Total current liabilities                                              63,704
                                                               ---------------

NONCURRENT PAYABLE TO GENERAL PARTNER                                  55,041
                                                               ---------------

PARTNERS' CAPITAL:
   Limited partners                                                   144,106
   General partner                                                     64,584
                                                               ---------------

Total partners'capital                                                208,690
                                                               ---------------

TOTAL                                                          $      327,435
                                                               ===============

   
Number of $500 Limited Partner units outstanding                        6,340
    

</TABLE>

See accompanying notes to financial statements.
------------------------------------------------------------------------------

                                       I-1
<PAGE>

ENEX OIL & GAS INCOME PROGRAM III - SERIES 6, L.P.

NOTES TO UNAUDITED FINANCIAL STATEMENTS

1.       The  interim  financial   information  included  herein  is  unaudited;
         however,  such information reflects all adjustments  (consisting solely
         of  normal  recurring   adjustments)  which  are,  in  the  opinion  of
         management,  necessary  for a fair  presentation  of  results  for  the
         interim periods.

2.       Effective  February 1, 1996, the Company sold its interest in the Credo
         acquisition  for $10,500.  The Company  recognized a $656 gain from the
         sale.  Effective  April 1, 1996,  the Company  sold its interest in the
         Kidd well in the Enexco acquisition for $22,400. The Company recognized
         a $21,253 gain from the sale.  Effective  6/1/96,  the Company sold its
         interest in the Harper well in the RIC  acquisition  for  $19,466.  The
         Company recognized a gain of $15,469 from the sale.

3.       On August 9, 1996, the Company's General Partner submitted  preliminary
         proxy material to the Securities  Exchange Commission with respect to a
         proposed  consolidation  of the Company with 33 other  managed  limited
         partnerships.  The terms and  conditions of the proposed  consolidation
         are set forth in such preliminary proxy material.

   
4.        The  Financial  Accounting  Standards  Board has issued  Statement  of
          Financial  Accounting  Standard ("SFAS") No. 121,  "Accounting for the
          Impairment  of  Long-Lived  Assets  and for  Long-Lived  Assets  to be
          Disposed  Of,"  which  requires  certain  assets  to be  reviewed  for
          impairment  whenever  events or  circumstances  indicate  the carrying
          amount  may  not be  recoverable.  Prior  to this  pronouncement,  the
          Company assessed  properties on an aggregate  basis.  Upon adoption of
          SFAS 121, the Company  began  assessing  properties  on an  individual
          basis,  wherein total  capitalized costs may not exceed the property's
          fair  market  value.  The  fair  market  value  of each  property  was
          determined by H. J. Gruy and  Associates,  ("Gruy").  To determine the
          fair  market  value,  Gruy  estimated  each  property's  oil  and  gas
          reserves,   applied  certain  assumptions  regarding  price  and  cost
          escalations,  applied  a 10%  discount  factor  for time  and  certain
          discount  factors  for risk,  location,  type of  ownership  interest,
          category of reserves, operational characteristics,  and other factors.
          In the first  quarter  of 1996,  the  Company  recognized  a  non-cash
          impairment  provision of $194,403  for certain oil and gas  properties
          due to market  indications  that the  carrying  amounts were not fully
          recoverable.
    

                                       I-4

<PAGE>

Item 2.  Management's Discussion and Analysis or Plan of Operation.


Second Quarter 1995 Compared to Second Quarter 1996

Oil and gas  sales for the  second  quarter  remained  relatively  unchanged  at
$87,465 in 1996 as compared to $87,473 in 1995.  Oil sales  increased  by $2,502
(4%).  A 6% increase in the average oil sales price  increased  sales by $3,921.
This increase was partially offset by a 2% decrease in oil production. Gas sales
decreased by $2,510  (11%).  A 37% decrease in gas  production  reduced sales by
$8,676.  This decrease was partially offset by a 42% increase in the average gas
sales price. The changes in the average sales prices  correspond with changes in
the overall  market for the sale of oil and gas. The decrease in oil  production
was  primarily  a result of natural  production  declines,  partially  offset by
production  from the  Corkscrew  acquisition  which had been shut-in  during the
second  quarter of 1995 for rod  repairs.  The  decrease in gas  production  was
primarily the result of the sale of the Credo  acquisition  in the first quarter
of 1996 and the sale of the Kidd  well in the  Enex  acquisition  in the  fourth
quarter of 1995, coupled with natural production declines.

Lease operating expenses decreased to $41,065 in the second quarter of 1996 from
$49,708 in the second quarter of 1995. The decrease of $8,643 (21%) is primarily
due to workover expenses incurred on the Corkscrew acquisition in 1995.

Depreciation and depletion expense decreased to $19,394 in the second quarter of
1996 from $34,050 in the second quarter of 1995.  This  represents a decrease of
$14,656 (43%). The changes in production,  noted above,  caused depreciation and
depletion  expense to decrease by $5,460,  while a 32% decrease in the depletion
rate reduced  depreciation and depletion  expense by an additional  $9,196.  The
rate decrease was primarily due to the lower property  basis  resulting from the
recognition  of an  impairment  of property for $194,403 in the first quarter of
1996.

Effective  April 1, 1996,  the Company sold its interest in the Kidd well in the
Enexco  acquisition for $22,400.  The Company recognized a $21,253 gain from the
sale.  Effective 6/1/96, the Company sold its interest in the Harper well in the
RIC acquisition for $19,466.  The Company  recognized a gain of $15,469 from the
sale.

   
On April 2, 1996, the Company settled a property  interest dispute on the Barnes
Estate acquisition.  In the settlement,  the Company agreed to pay $2,500 to the
plaintiff and convey 0.1%  overriding  royalty  interest in the Barnes Estate #1
and #2 wells.  Such conveyance  should not have a material impact on the current
or future revenues of the Company.
    

General and  administrative  expenses decreased to $10,937 in the second quarter
of 1996 from  $15,536 in the second  quarter of 1995.  This  decrease  of $4,599
(30%) is primarily due to less staff time being required to manage the Company's
operations.

                                      I-5
<PAGE>

First Six Months in 1995 Compared to First Six Months in 1996

Oil and gas sales for the first six months  decreased  to  $186,762 in 1996 from
$189,491 in 1995. This represents a decrease of $2,729 (1%). Oil sales decreased
by $8,246 (6%). A 12% decrease in oil production reduced sales by $16,553.  This
decrease was  partially  offset by a 7% increase in the average oil sales price.
Gas sales  increased  by $5,517  (11%).  A 32% increase in the average gas sales
price  increased sales by $13,077.  This increase was partially  offset by a 16%
decrease in gas production.  The changes in the average sales prices  correspond
with changes in the overall  market for the sale of oil and gas. The decrease in
oil production was primarily a result of natural production declines,  partially
offset by  production  from the  Corkscrew  acquisition  which had been  shut-in
during  the  second  quarter  of  1995  for rod  repairs.  The  decrease  in gas
production was primarily the result of the sale of the Credo  acquisition in the
first quarter of 1996 and the sale of the Kidd well in the Enex  acquisition  in
the fourth quarter of 1995 coupled with natural production declines.

Lease operating expenses decreased to $93,152 in the first six months of 1996 to
$96,024  in the  first six  months  of 1995.  The  decrease  of  $2,872  (3%) is
primarily  due to workover  expenses  incurred on the Corkscrew  acquisition  in
1995.

Depreciation and depletion  expense decreased to $38,858 in the first six months
of 1996 from $74,897 in the first six months of 1995. This represents a decrease
of $36,039 (48%). The changes in production,  noted above,  caused  depreciation
and  depletion  expense to  decrease  by  $9,779,  while a 40%  decrease  in the
depletion  rate reduced  depreciation  and  depletion  expense by an  additional
$26,260.  The rate  decrease  was  primarily  due to the  lower  property  basis
resulting from the  recognition of an impairment of property for $194,403 in the
first quarter of 1996.

Effective  February  1,  1996,  the  Company  sold  its  interest  in the  Credo
acquisition  for  $10,500.  The  Company  recognized  a $656 gain from the sale.
Effective  April 1, 1996,  the Company sold its interest in the Kidd well in the
Enexco  acquisition for $22,400.  The Company recognized a $21,253 gain from the
sale.  Effective 6/1/96, the Company sold its interest in the Harper well in the
RIC acquisition for $19,466.  The Company  recognized a gain of $15,469 from the
sale.


   
The  Financial  Accounting  Standards  Board has issued  Statement  of Financial
Accounting  Standard  ("SFAS")  No.  121,  "Accounting  for  the  Impairment  of
Long-Lived  Assets and for Long- Lived Assets to be Disposed Of," which requires
certain assets to be reviewed for impairment  whenever  events or  circumstances
indicate  the   carrying   amount  may  not  be   recoverable.   Prior  to  this
pronouncement,  the Company  assessed  properties  on an aggregate  basis.  Upon
adoption of SFAS 121, the Company  began  assessing  properties on an individual
basis, wherein total capitalized costs may not exceed the property's fair market
value.  The fair market value of each property was  determined by H. J. Gruy and
Associates,  ("Gruy").  To determine the fair market value,  Gruy estimated each
property's oil and gas reserves, applied certain assumptions regarding price and
cost  escalations,  applied a 10% discount factor for time and certain  discount
factors for risk,  location,  type of ownership interest,  category of reserves,
operational characteristics, and
    

                                      I-6
<PAGE>


   
other factors.  In the first quarter of 1996, the Company  recognized a non-cash
impairment  provision  of $194,403  for certain  oil and gas  properties  due to
market indications that the carrying amounts were not fully recoverable.

On April 2, 1996, the Company settled a property  interest dispute on the Barnes
Estate acquisition.  In the settlement,  the Company agreed to pay $2,500 to the
plaintiff and convey 0.1%  overriding  royalty  interest in the Barnes Estate #1
and #2 wells.  Such conveyance  should not have a material impact on the current
or future revenues of the Company.
    

General and administrative expenses decreased to $23,816 in the first six months
of 1996 from  $30,313 in the first six months of 1995.  This  decrease of $6,497
(21%) is primarily due to less staff time being required to manage the Company's
operations.


                                       I-7

<PAGE>


CAPITAL RESOURCES AND LIQUIDITY

   
The  Company's  cash  flow is a direct  result  of the  amount  of net  proceeds
realized from the sale of oil and gas  production  after the payment of its debt
obligations.  Accordingly,  the  changes  in cash  flow  from  1995 to 1996  are
primarily  due to the changes in oil and gas sales  described  above.  It is the
general  partner's  intention to distribute  substantially  all of the Company's
remaining  available  cash  flow  to  the  Company's  partners.   The  Company's
"available cash flow" is essentially equal to the net amount of cash provided by
operating activities.
    


The Company will continue to recover its reserves and  distribute to the limited
partners the net proceeds realized from the sale of oil and gas production after
the payment of its debt obligations.  Distribution amounts are subject to change
if net  revenues  are greater or less than  expected.  Nonetheless,  the general
partner  believes the Company will continue to have sufficient cash flow to fund
operations and to maintain a regular pattern of distributions.

On August 9, 1996, the Company's  General Partner  submitted  preliminary  proxy
material  to the  Securities  Exchange  Commission  with  respect  to a proposed
consolidation  of the Company with 33 other managed  limited  partnerships.  The
terms  and  conditions  of the  proposed  consolidation  are set  forth  in such
preliminary proxy material.

As of June 30,  1996,  the  Company  had no  material  commitments  for  capital
expenditures.  The  Company  does  not  intend  to  engage  in  any  significant
developmental drilling activity.


                                       I-8

<PAGE>

                                   SIGNATURES


         In accordance with the requirements of the Exchange Act, the registrant
caused this report to be signed on its behalf by the undersigned  thereunto duly
authorized.


                                             ENEX OIL & GAS INCOME
                                          PROGRAM III - SERIES 6, L.P.
                                            ---------------------------
                                                (Registrant)



                                             By:ENEX RESOURCES CORPORATION
                                                --------------------------
                                                  General Partner



                                             By: /s/ R. E. Densford
                                                 ------------------
                                                     R. E. Densford
                                             Vice President, Secretary
                                          Treasurer and Chief Financial
                                                    Officer




   
November 7, 1996                             By: /s/ James A. Klein
                                                -------------------
                                                     James A. Klein
                                                Controller and Chief
                                                Accounting Officer