I have on my lap a book I believe currently in print 'The Joy of Christmas' 2nd edn 2002. compiled and presented by 'Worrall Male Voice Choir', Sheffield. It would appear to contain all of the above-mentioned tunes/carols gleaned from all of the Sheffield area carol traditions. I think I got my copy off eBay.
Other than that Dave Eyre (Folkiedave) would be a useful contact, or a little more elusive perhaps but very knowledgeable on such matters, Dr Ian Russell at Aberdeen University.
I also have early sheet music for Ilkla Moor but not the carol. I'm not a big carol buff although I enjoy the Sheffield pub traditions when I can get there.