1. Name and Address of Reporting Person
   Stevens, Charles V.
   2350 N. Sam Houston Parkway East
   Suite 300
   Houston, TX 77032
   USA
2. Issuer Name and Ticker or Trading Symbol
   Southwestern Energy Company (SWN)
3. IRS or Social Security Number of Reporting Person (Voluntary)
4. Statement for Month/Year
   5/2002
5. If Amendment, Date of Original (Month/Day/Year)
6. Relationship of Reporting Person(s) to Issuer (Check all applicable)
   ( ) Director                   ( ) 10% Owner
   (X) Officer (give title below) ( ) Other (specify below)
   Senior Vice President of wholly owned subsidiary
7. Individual or Joint/Group Filing (Check Applicable Line)
   (X) Form filed by One Reporting Person
   ( ) Form filed by More than One Reporting Person

TABLE I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

+---------------------------------+----------+-------------+-----------------------------+----------------+-----------+------------+
|1. Title of Security             |2. Trans- |3. Trans-    |4. Securities Acquired (A)   |5. Amount of    |6. Owner-  |7. Nature   |
|                                 |   action |   action    |   or Disposed of (D)        |   Securities   |   ship    |   of In-   |
|                                 |   Date   |   Code      |                             |   Beneficially |   Form:   |   direct   |
|                                 |          |             |                             |   Owned at     |   Direct  |   Bene-    |
|                                 |  (Month/ |             |                             |   End of       |   (D) or  |   ficial   |
|                                 |   Day/   +-------+-----+-----------+------+----------+   Month        |   Indirect|   Owner-   |
|                                 |   Year)  |Code   |V    |Amount     |A/D   |Price     |                |   (I)     |   ship     |
+---------------------------------+----------+-------+-----+-----------+------+----------+----------------+-----------+------------+
                                                                                            
Common Stock                       05/03/2002 M             200         A      $12.8125                    D
Common Stock                       05/03/2002 S             -200        D      $14.5000                    D
Common Stock                       05/15/2002 M             2800        A      $12.8125                    D
Common Stock                       05/15/2002 S             -2800       D      $14.5000   15463.16         D





TABLE II -- Derivative Securities Acquired, Disposed of, or Beneficially Owned

+-------------+--------+----------+---------+-----------+---------------------+----------------+----------+--------+-------+-------+
|1.           |2.      |3.        |4.       |5.         |6.                   |7.              |8.        |9.      |10.    |11.    |
|             |        |          |         |           |                     |                |          |Number  |Owner- |       |
|             |        |          |         |           |                     |                |          |of      |ship   |       |
|             |        |          |         |           |                     |                |          |Deriv-  |Form of|       |
|             |        |          |         |           |                     |Title and Amount|          |ative   |Deriv- |       |
|             |        |          |         |           |                     |of Underlying   |          |Secur-  |ative  |Nature |
|             |Conver- |          |         |Number of  |                     |Securities      |          |ities   |Secur- |of     |
|             |sion or |          |         |Derivative |Date Exercisable     +-------+--------+          |Benefi- |ity:   |In-    |
|             |Exercise|          |         |Securities |and Expiration Date  |       |Amount  |          |cially  |Direct |direct |
|             |Price of|Transac-  |Transac- |Acquired(A)|(Month/Day/Year)     |       |or      |          |Owned   |(D) or |Bene-  |
|Title of     |Deriv-  |tion Date |tion Code|Disposed(D)+----------+----------+       |Number  |Price of  |at End  |In-    |ficial |
|Derivative   |ative   |(Month/   +------+--+-----+-----+Date Exer-|Expira-   |       |of      |Derivative|of      |direct |Owner- |
|Security     |Security|Day/Year) |Code  |V |(A)  |(D)  |cisable   |tion Date |Title  |Shares  |Security  |Month   |(I)    |ship   |
+-------------+--------+----------+------+--+-----+-----+----------+----------+-------+--------+----------+--------+-------+-------+
                                                                                  
Stock Options  $12.8125 05/03/2002 M               200   12/16/1993 12/16/2002 Common  200      $0.0000             D
(Right to buy)                                                                 Stock
Stock Options  $12.8125 05/15/2002 M               2800  12/16/1993 12/16/2002 Common  2800     $0.0000    0        D
(Right to buy)                                                                 Stock

Explanation of Responses:


SIGNATURE OF REPORTING PERSON
/s/ Charles V. Stevens

DATE
06/05/2002