G.B. The old traditonal song "CARNWATH MILL" was rewritten & issued in sheet music & a 78rpm record in 1946. Carnwath Mill & Carmichael Mill are only a few miles distant from each other. Could the song on your C.D. be another rewrite of this same song?
Carnwath Mill {Chorus}
And its fare ye weel tae Carnwath Mill and its fare ye weel ma dearie o its fare ye weel tae Carnwath Mill for its there for its there that a lost ma dearie.
NOTE---mill is pronounced mull in the speak of the area.