Lochlainn prints Stanford-Petrie 693 almost exactly; a couple of changed note-values only (see my earlier post). If it's in Cooper, it will probably be listed as 'Oh Johnny dearest Johnny' or something like that; as I said, the song it belonged to doesn't seem to have been Bantry Girls at all, but an Irish version of The Bloody Miller (Oxford Girl, Wexford Girl, etc).
Does Petrie's Ancient Irish Music have any more detail?