SECURITIES AND EXCHANGE COMMISSION
                              WASHINGTON, DC 20549

                                 SCHEDULE 13G/A
                                 (Rule 13d-102)


             INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
           TO RULES 13d-1(b)(c), AND (d) AND AMENDMENTS THERETO FILED
                            PURSUANT TO RULE 13d-2(b)

                                (Amendment No.3)


                     Fortune Natural Resources Corporation
--------------------------------------------------------------------------------
                                (Name of Issuer)


                                  Common Stock
--------------------------------------------------------------------------------
                         (Title of Class of Securities)


                                   349681106
--------------------------------------------------------------------------------
                                 (CUSIP Number)






CUSIP No. 349681106                   13G                      Page 2 of 5 Pages


________________________________________________________________________________
1.   NAME OF REPORTING PERSONS
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

     Renaissance Capital Growth & Income Fund III, Inc.               75-2533518


________________________________________________________________________________
2.   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
     (a) [_]
     (b) [_]

________________________________________________________________________________
3.   SEC USE ONLY



________________________________________________________________________________
4.   CITIZENSHIP OR PLACE OF ORGANIZATION

     Texas

________________________________________________________________________________
  NUMBER OF    5.   SOLE VOTING POWER

   SHARES           1,558,394
               _________________________________________________________________
BENEFICIALLY   6.   SHARED VOTING POWER

  OWNED BY          None
               _________________________________________________________________
    EACH       7.   SOLE DISPOSITIVE POWER

  REPORTING         1,558,394
               _________________________________________________________________
   PERSON      8.   SHARED DISPOSITIVE POWER

    WITH            None
________________________________________________________________________________
9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     1,558,394

________________________________________________________________________________
10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

                                                                          [_]

________________________________________________________________________________
11.  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

     9.25%

________________________________________________________________________________
12.  TYPE OF REPORTING PERSON*

     IV

________________________________________________________________________________





CUSIP No. 349681106                   13G                      Page 3 of 5 Pages



Item 1(a).  Name of Issuer:

            Fortune Natural Resources Corporation                    ("Company")

            ____________________________________________________________________

Item 1(b).  Address of Issuer's Principal Executive Offices:

            515 West Greens Road, Suite 720
            Houston, TX  77067
            ____________________________________________________________________

Item 2(a).  Name of Person Filing:

            Renaissance Capital Growth and Income Fund III, Inc.       ("Filer")

            ____________________________________________________________________

Item 2(b).  Address of Principal Business Office, or if None, Residence:

            8080 N. Central Expressway
            Suite 210, LB-59
            Dallas, TX  75206
            ____________________________________________________________________

Item 2(c).  Citizenship:

            Texas

            ____________________________________________________________________

Item 2(d).  Title of Class of Securities:

            Common Stock

            ____________________________________________________________________

Item 2(e).  CUSIP Number:

            75966V105

            ____________________________________________________________________

Item 3.     If This Statement  is Filed  Pursuant to  Rule 13d-1(b), or 13d-2(b)
            or (c), Check Whether the Person Filing is a:

     (a)  [_]  Broker or dealer registered under Section 15 of the Exchange Act.

     (b)  [_]  Bank as defined in Section 3(a)(6) of the Exchange Act.

     (c)  [_]  Insurance  company as defined in Section 3(a)(19) of the Exchange
               Act.

     (d)  [X]  Investment  company  registered under Section 8 of the Investment
               Company Act.

     (e)  [_]  An investment adviser in accordance with Rule 13d-1(b)(1)(ii)(E);

     (f)  [_]  An employee  benefit plan or endowment  fund in  accordance  with
               Rule 13d-1(b)(1)(ii)(F);

     (g)  [_]  A parent  holding  company or control  person in accordance  with
               Rule 13d-1(b)(1)(ii)(G);

     (h)  [_]  A savings  association  as defined in Section 3(b) of the Federal
               Deposit Insurance Act;

     (i)  [_]  A  church  plan  that  is  excluded  from  the  definition  of an
               investment  company  under  Section  3(c)(14)  of the  Investment
               Company Act;

     (j)  [_]  Group, in accordance with Rule 13d-1(b)(1)(ii)(J).




CUSIP No. 349681106                   13G                      Page 4 of 5 Pages



Item 4.  Ownership.

     Provide  the  following  information  regarding  the  aggregate  number and
percentage of the class of securities of the issuer identified in Item 1.

     (a)  Amount beneficially owned:

          At May 1, 2002,  Renaissance  Capital  Growth & Income Fund III,  Inc.
          ("Renaissance  III"),  owned 1,322,394  shares of the Company's common
          stock,  warrants to purchase  100,000  shares of the Company's  common
          stock at $1.50 per share on or before  March 1, 2003,  and warrants to
          purchase  100,000 shares of the Company's  stock at $2.25 on or before
          March 1, 2002. On May 20, 2002,  Renaissance III received  warrants to
          purchase  36,000  shares of the  Company's  common  stock at $0.25 per
          share on or before May 19, 2005. Thus, as of May 31, 2002, Renaissance
          III owns  1,558,394  shares of the  Company's  common stock on a fully
          converted basis.

          The Filer's  Investment  Adviser is Renaissance  Capital Group,  Inc.,
          which is also Investment  Manager for Renaissance US Growth and Income
          Trust PLC ("Renaissance  US").  Renaissance US also owns securities of
          Fortune Natural Resources Corporation.
          ______________________________________________________________________

     (b)  Percent of class:
          9.25%
          ______________________________________________________________________

     (c)  Number of shares as to which such person has:

          (i)   Sole power to vote or to direct the vote
                1,558,394.

          (ii)  Shared power to vote or to direct the vote
                None,

          (iii) Sole power to dispose or to direct the disposition of
                1,558,394,

          (iv)  Shared power to dispose or to direct the disposition of
                None.


Item 5.  Ownership of Five Percent or Less of a Class.

     If this statement is being filed to report the fact that as of the date
hereof the reporting person has ceased to be the beneficial owner of more than
five percent of the class of securities check the following [ ].


         _______________________________________________________________________

Item 6.  Ownership of More Than Five Percent on Behalf of Another Person.

         Not applicable

         _______________________________________________________________________

Item 7.  Identification and  Classification of the Subsidiary Which Acquired the
         Security  Being  Reported on by the Parent  Holding  Company or Control
         Person.

         Not applicable

         _______________________________________________________________________

Item 8.  Identification  and  Classification  of Members of the Group.

         Not applicable

         _______________________________________________________________________

Item 9.  Notice of Dissolution of Group.

         Not applicable

          ______________________________________________________________________




CUSIP No. 349681106                   13G                      Page 5 of 5 Pages

Item 10.  Certifications.

     By signing  below I certify  that,  to the best of my knowledge and belief,
the  securities  referred to above were  acquired  and are held in the  ordinary
course of business and were not acquired and not held for the purpose of or with
the  effect  of  changing  or  influencing  the  control  of the  issuer  of the
securities  and were not  acquired and are not held in  connection  with or as a
participant in any transaction having such purpose or effect.


                                    SIGNATURE

     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.


                              June 6, 2002
                              ----------------------------------------
                              (Date)



                              ----------------------------------------
                              (Signature)

                              Russell Cleveland, President and CEO
                              Renaissance Capital Growth & Income Fund III, Inc.
                              ----------------------------------------
                              (Name/Title)