That's what I'm hoping for; but it isn't likely to be in any source immediately available to me, I think. Meanwhile it can only be a tentative identification. I'm not assuming that it must be the song we know, but it certainly does suggest that we now have a potentially larger time-frame to look at, and that my earlier guess at an American source for this particular form is likely to have been wrong. That was partly based on the fact that the two American examples listed by Roud both begin This old man; but so, on the other hand, does the unpublished Sharp set.

The set in Peacock's Songs of the Newfoundland Outports, incidentally, also has "padlock" rather than "paddywhack", but that doesn't prove anything in itself. The tune is rhythmically closer to the form we are used to, but whether it's melodically related I couldn't say.