Green’s Dictionary of Slang

Tipperary fortune n.

[‘Two town lands [the breasts], stream’s town [the genital area] and ballinocack [the anus]’ (Grose 1785)]

1. an Irish woman with no fortune other than her body.

[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Tipperary fortune, two town lands, stream’s town, and ballinocack; said of Irish women without fortune.
[UK]Lex. Balatronicum [as cit. 1785].
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[Ire]Share Slanguage.

2. the breasts, vagina and anus.

[as sense 1].