Oh man, that's awesome - I'm quite fond of the MS-DOS version of The Lemmings Chronicles/All New World of Lemmings (it's a long and pointless story
), so I'm glad to see this. All three big-box releases of the game (Amiga, MS-DOS floppy disk, and MS-DOS CD-ROM with redbook audio*) use the same manual (there's also a later North American budget release as part of an eclectic multi-disc set, which as far as I know doesn't come with the manual), which I've uploaded a PDF of (link below). The only music/sound credit given at all is for Raymond Usher, unless I'm overlooking something somehow. The manual credits the MS-DOS version's intro to Lenny Lane, although it's not clear whether this is an audio credit or one for putting it together. (EDIT: The info on MobyGames suggests that this credit relates to 3D animation, so it may not be an audio credit.)
You can grab the manual
from here.
The errata sheet that was supplied with the game simply relates to the save-system (which was changed between the time the manual was printed and when the game shipped), so that doesn't shed any additional light.
Anyway, that said, the credits for the game as found at MobyGames (
Amiga and
MS-DOS) also mention a music credit for Colin Anderson, alongside Raymond Usher, but since this doesn't correspond with the manual, which doesn't appear to mention Colin Anderson at all, I'm unsure as to how accurate this is.
I hope that this helps some!
*I've uploaded my rip of the MS-DOS CD-ROM version's music
here, if you want it.