I discovered a copy of the piano music for this theme in a box of music I acquired through FreeCycle. Here's my first draft of it as a piece for recorder quintet (Tr Tr T B B). Still needs a bit of proofreading, and most of the dynamics are still missing, but I think it'll work OK, and by the time Piping Hot Recorders reassemble after the festive season I should have a working version of it for us to try.
This is an mp3 file created from the wav file generated by Sibelius Kontact player, so it's a bit artificial-sounding, to say the least, but somewhat better than a midi file I suppose. Not sure about the supposed 'recorder' sound, though: sounds more like flutes to me. I guess we'd better do it for real.