See posting earlier in this thread:

"Strictly speaking, the "cockney parody", so called, is the original All Around My Hat. There is no record of any earlier song of that title, or containing those verses. Of course, there are related antecedents. "

and

"Ansell and Valentine's costermonger song 'All Around My Hat' (c.1834) wasn't made from whole cloth, of course. It was a parody of 'Green Willow' "

As printed c1840:

All round my hat I vears a green villow,
All round my hat for a twelvemonth and a day,
If any one should ax't the reason vy I vears it,
Tell them that my true love is far, far away.


Therefore origins are LONDON (which wasn't in Ireland last time I looked)

We had someone writing a letter to the Times yesterday to say it was Irish, "correcting" a previous letter which must have said it was English.