Several tunes or variants, but not for the broadside text of course. I haven't heard the Hart/Prior arrangement for years, so I don't recall if they acknowledged a proper source or not.

Meanwhile, there are tunes in Robin Morton, Come Day Go Day (Ulster); Michael Dawney, Ploughboy's Glory (England); Helen Creighton, Maritime Folk Songs (Nova Scotia); Folk MUsic Journal 3 (1) 1975 (London, Irish source). None are for the above texts so far as I remember.