I've not been able to pin down a date on this previously lost/uncirculated "Dinah Shore" program. It sounds like it might be from her circa 1943 series sponsored by Birds Eye on CBS.
In program 15 of the series as broadcast on AFRS, Dinah opens up the show with "The One I Love Belongs to Somebody Else". In the comedy segments, guest Wally Brown has decided to become a detective.
Brown appeared on several episodes of Dinah's 1943 series for Birds Eye. He was a comedy partner with Alan Carney and the team was promoted by RKO as a kind of low-rent Abbot and Costello. Probably their most (in)famous movie together was "Zombies on Broadway".
The show was transferred from an original Navy Department AFRS vinyl transcription. There's no date in disc matrix