I suspect his active career predates the tv show era
https://www.allmusic.com/artist/joe-bailey-mn0001221561

https://secondhandsongs.com/artist/1...all#nav-entity
(I don’t think the Sesame Street/Muppet writer played in Louis Armstrong's Orchestra)
https://muppet.fandom.com/wiki/Joseph_A._Bailey

He was also a bassist and occasional vocalist
https://adp.library.ucsb.edu/index.p...453/Bailey_Joe

He was a bassist in the 1933 film Cavelcade
https://www.loc.gov/item/jots.200014304/
https://m.youtube.com/watch?v=U9izc_NGW2w

Clip
That might be Mr. Bailey on the bass
https://m.youtube.com/watch?v=G42C2VWP2vM

)BOB