Green’s Dictionary of Slang

Tipperary adj.

drunk, tipsy [one ‘tips’ over].

1770

Gent.’s Mag. Dec. 559/2: To express the condition of an Honest Fellow [...] under the Effects of good Fellowship, it is said that he is [...] 41. Tipperary; probably from being likely to tip, or fall down.

In phrases

Tipperary hearty jokes (n.)

potatoes, i.e. ‘artichokes’.

1812

Spirit of Irish Wit 119: These pills go by various names [...] Munster plumbs, Tipperary hearty jokes.