Green’s Dictionary of Slang

desirable, sexy; thus feel hairy, to feel sexually inclined.

1834		‘Randy Johnny!’ Bang-Up Songster 9: He bedded every maid. / With his in and out, round about, / Hairy, leary, randy, dandy.
1836		‘Nanny, The Frisky’ Flash Casket 75: The jack mots of Wapping, might any work do, / And are rummy when they have a mind. / But the hairiest of lasses, / What all these surpasses, / Is Nanny, the frisky young whore!
1946		(con. 1912) B. Marshall George Brown’s Schooldays 142: Hairy fine paps they had too.
1957		‘Weldon Hill’ Onionhead (1958) 140: ‘I bet they make up most of their hairy old sex stories’.
1969		H. Ellison ‘A Boy & his Dog’ Beast that Shouted Love (1976) 181: The kind of crap they’d made back in the 1930’s and ’40s, real clean stuff with even married people sleeping in twin beds. [...] Once in a while a chick from one of the really strict middle-class downunders could cumup, to see what a hairy flick was like.
1998		(con. 1960s) G. Washington Blood Brothers 140: To me she was a cobra with a hairy snatch. [...] Yeah, you’d better make tonight a good one, you never know when she might stop giving you that hairy stuff.