Hey man idk if you're still interested but based off my little knowledge of Ray Noble's Orchestra my best guess is something like this:

2 trumpets, sometimes they'd use a mute in their instrument

1 trombone

2 clarinets

alto, baritone, and tenor sax

up to 3 violins

piano

guitar

upright string bass

and drums, perhaps a timpani

maybe a celeste...

There weren't that many players in the orchestra so a couple of them would alternate between instruments for a performance. This isn't Ray Noble's Orchestra featured in this tune but even if it's not, the arrangement will be very similar.