For the concert included in the Vault, the following are listed

David Bromberg - guitars, dobro, fiddle, mandolin
Jay Ungar - fiddle
Hugh McDonald - bass
Steve Mosley - drums
Peter Ecklund - cornet, trumpet
Joe Ferguson – sax

In the liner notes to Bromberg’s album "How Late'll Ya Play'til?" recorded June 18 & 19 at the Great American Music Hall, the following are listed:

Bromberg

Brantley Kearns – fiddle, mandolin

Hugh McDonald – bass

Steve Mosley – durms

Peter Ecklund -  trumpet

John Firmin – saxophones, clarinet (about 2:25 into Sloppy Drunk you can hear Bromberg say “my good friend John Firmin over there”

Curt Linberg – trombone

*** Fegy – mandolin, electric guitar

Other than Bromberg’s comment about John Firmin, I couldn’t say whether the list of musicians for the show here in the Vault is correct or not.