Abe Wesley's Climax Five
Fictional jazz band from the oddball 1945 novel The Memoirs of a Shy Pornographer by Kenneth Patchen.
The band's song is "Stonytown Gut-Scatter."
The band is mixed in a list with other, real and fake jazz bands and the list described as: "These are the disks you'll have to get if you want a basic jazz library," by one Milen Berg.
Probably the same Wesley as Wesley's Original Dauphine Street Terrors, since they're next to each other on the list.