Also the tune Chappell published seems to be the only surviving traditional English tune for this song; and as the song originated in England I'd far rather sing it to an English tune than a Scottish one.

I don't read music, so a friend of mine, James Eisner, has made a recording of the first verse sung to the tune published by Chappel, and has kindly uploaded it to Soundcloud here - so that I could link to it, in case anyone else who doesn't read music would like to hear it as well.

Many thanks again to Steve for unearthing it.