Leading off side two of the Sounds Like… Tijuana Brass album was “Town Without Pity.”  The tune was originally a 1961 recording by pop crooner Gene Pitney,  with music composed by Dimitri Tiomkin and lyrics by Ned Washington.  It was composed for the film of the same name, and received a Golden Globe along with an Academy Award nomination for best motion picture song.

https://www.youtube.com/watch?v=8vAyitZPcMo