Well, now that I'm seeing who the tenor is, I'm guessing this is a Verve date, meaning Ray Brown on bass. Probably Herb Ellis on guitar. Piano and drums, though... It's not OP, and I can't see OP being a good fit for a Jacquet date. Could that be Jimmy Jones? He made a lot of Verve dates during this era, and the comping here is in a Jones bag harmonically. Those bombs the drummer is dropping during Eldridge's solo... Louie Bellson? certainly a drummer with some significant big band experience. As in, he knows how to make a small combo as dynamic as a larger band. The more I listen, the more his work here impresses. If this is a big band drummer, I'm, thinking Basie, Jo Jones, but more by logic than ear. Whoever it is: 5 stars.
But of course! This must be from an Anderson record I don't know (or own). Very curious now!
Ah, I now see that a trumpet player from a recent BFT strikes again. And esteemed guest indeed.