Two comments.

While it is certainly possible that Frank Harte got his version via Burl Ives, Occam's Razor suggests that transmission within Ireland is more likely than the passage from Ireland to the USA and back.

I was wondering what if anything you would have to say about the Christy Moore version, and disappointed that you have dismissed it so briefly. It has the same opening as the others and then goes on to tell a completely different story; but the same can be said of the "Madam" versions versus the others. Why include two (or is it two and a half) plots but exclude the third?