My jazz listening career is now spanning the generations! Saw Jimmy with Humphrey Lyttelton (and Jimmy Rushing) at Leeds Town Hall in 1957/8 and Alan with Peter King at the Wigan Jazz Festival in about 2002.
He only features in my collection on the classic Blue Note Birdland session with Art Blakey, Clifford Brown and Horace Silver and IIRC on some early 1950s sides with Milt Jackson.