Dear Mr. Sherman,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located a series titled "American Theatre of the Air" Radio Broadcasts in the Records of the U.S. Information Agency (Record Group 306) that includes a recording of Our Town dated June 1957. We also located Production Library Audio Recordings in Record Group 306 that includes OUR TOWN dated May 1957 and OUR TOWN dated June 1957. Please contact National Archives at College Park - Motion Pictures (RDSM) via email at email@example.com to request access to and/or copies of these recordings.
Plus, we located Records Relating to Copyright Clearances for Radio Shows, Television Programs, and Motion Pictures, 1953 - 1956 in Record Group 306 which includes the file units Our Town by Thorton Wilder - Germany and Our Town. For access to and/or copies of these file units, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org.
We hope this information is helpful. Best of like with your research!