A.P. Graves' Irish Song Book (1894) also names the tune My Wife is Sick; it appears in Stanford-Petrie (no.509) as My Wife is sick and like to die, oh dear what shall I do, but without information as to provenance. I haven't managed to find any more specific information; the entry at The Fiddler's Companion, for instance, seems to be based on hearsay from all over the place and is probably less accurate than what we already have (mostly in the other thread).