I didn't read Lochlainn's note carefully enough, it seems. I don't have a copy of Sparling; it would be interesting to know if he printed a tune, or indicated one; that might explain the apparently different one used by Delia Murphy, perhaps.
Stanford-Petrie 693 is prefixed by the couplet
Oh Johnny dearest Johnny, what dyed your hands and cloaths? He answered him as he thought fit 'by a bleeding at the nose.'
Lochlainn also quotes it in his note. The lines seem to be from The Witham Miller or one of its many variants, so the tune may not traditionally have belonged to Bantry Girls at all. Immediately following is number 694, The dawning of the day (from Kate Keane, December 1854) with a note appended: "A variant of the preceding".