Thanks, Scorpio. I know and enjoy Mary Mack (and did not know Tommy Makem had written it), but it is not the same song. (Funny coincidence about McSherry though!)
Melody is different, though I can't put it online, and the chorus is

Will Mary marry Mickey and will Kerry marry Crack,
Or will Kerry marry Mickey for the craic?
[something something something something something] Mickey Mack
And McSherry had a monkey on his back.