Conversation so far:
When did Gerry Mulligan start working with Chet Baker?
Mulligan began performing on off-nights at The Haig in 1952. a young trumpeter named Chet Baker began sitting in with Mulligan. Mulligan and Baker began recording together
When did Gerry Mulligan and Chet Baker form the quartet?
What instruments were in Gerry Mulligan's quartet?
Baker on trumpet, Bob Whitlock on bass and Chico Hamilton on drums; Gerald Joseph Mulligan was a  jazz saxophonist and clarinetist
Did Gerry Mulligan, Chet Baker, Bob Whitlock, and Chico Hamilton make any recordings?
These early live dates were recorded by Dick Bock on a portable reel-to-reel tape deck
What was the name of the first album Gerry Mulligan, Chet Baker, Bob Whitlock, and Chico Hamilton recorded?
Gerry Mulligan Quartet Volume 1 was their first album
What were the reviews like?
Did Gerry Mulligan, Chet Baker, Bob Whitlock, and Chico Hamilton do a second album?
Their second album was called Lee Konitz Plays with the Gerry Mulligan Quartet

Question: What songs were on that album?
Self-contained rewrite: What songs were on Lee Konitz Plays with the Gerry Mulligan Quartet?