It certainly predates 1844 as it was printed by the London printers of the early 19th century, Pitts, Catnach, Birt, Batchelar, plus Ford of Sheffield, Bebbington of Manchester and Andrews of Leeds. I'd say no later than 1835. The last verse on the broadsides titled 'Teddy O'Gra'
mentions the King and Queen of Spain. It is of course stage-Irish like many thousands more of that era. It manages a two-pronged attack on the Irish and those maimed in the Napoleonic Wars. Oh, wasn't it all jolly fun!