You weren't the culprit, and I think that MMario was reminded by it to get this one out again. Although the tune is essentially the same, each variant differs, and I think that the right form of the tune should go with the relevant set of words. I'll add an abc when I have time (unless someone else has notation of Sam's singing) but it won't be today. Well done finding that broadside, by the way; I missed it last time the subject came up.

Said broadside is transcribed (though with some of the idiosyncratic typography regularised) at thread From Dogger Bank to grey [sic] Grimsby

The midi I linked to above (over three years ago now) may still be there, but the text transcription was a bit inaccurate and uncredited, so I don't know that I'd trust those people necessarily to have done the tune properly.