Hi, Deborah-
Looks like you're right. The Harry Fox Agency lists the song as "Broadway Is a Tame Street," written by Will Holt and also recorded by Chad Mitchell. Judging from the graphics, I'd say the "Three Hats" songbook I quoted from was from the 1970s or later, and the Chad Mitchell album was 1969. I found a source that said that The Exciting Artistry Of Will Holt came out in 1959.

So, can anybody come up with a transcription of the Will Holt recording?

-Joe-