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

Question: What was the name of the first album they recorded?
Self-contained rewrite: What was the name of the first album Gerry Mulligan, Chet Baker, Bob Whitlock, and Chico Hamilton recorded?