Know who played this Colman Hawkins date?

I got record titled "The Hawk Swings" on United Superior Records (US 7707). Its in stereo, so I guess its from the early sixties sometime. Its real stereo too, not some re-mixed nonsense. No where on either the cover or the vinyl does it tell you what date, where it was recorded or who played on it. Lineup is Hawk, trumpet, piano, bass and drums. The tracks are Bean in Orbit, After Midnight, Hassle, Moodsville and Stalking.Actually not a bad recording for a no-name. I certainly have worse.

Anyone have any idea who might have played on this record with hawk?