I believe this is a recording of Sam Price performing his new jazz piano suite, Mayor La Guardia Jumps before a capacity audience at New York City Center, May 13, 1945.  The other voice heard on the recording is probably performer and band leader Eddie Condon. Condon and Price are referring to the fact that the Mayor's term of office ends December 31, 1945.

The recording was found on a transcription disc with Mayor La Guardia from May 7, 1945 making a pre-VE-Day announcement over WNYC to the residents of New York.

Samuel Blythe Price (1908-1992) was a noted a boogie-woogie, jazz and jump blues pianist and bandleader. He was in the WNYC studio during the 2nd annual American Music Festival in February 1941 with Leadbelly, Albert Ammons, and Meade Lux Lewis. See: AMF 1941.