A popular comic stage-Irish song of the mid-19th century, the words written, according to songsheets of the time, by one George W. Osborn (an American, apparently) and set originally to a generic "Irish-style" 6/8 tune vaguely similar to The Irish Washerwoman. Two American broadside editions of c.1860 can be seen at  Bodleian Library Broadside Ballads:

Irishman's shanty

Sheet music of 1859 can be seen at  The Lester Levy Sheet Music Collection:

The Irishmans Shanty. A Favorite Comic Song With Imitations Albany: E. Hobart & Co., 1859. "As Sung by Matt Peel".

No. 4838 in the Roud Folk Song Index. Fairly common in the USA and Canada, it appears, but not in Britain or Ireland. The song has also been discussed in several other threads here.