Green’s Dictionary of Slang

(US) a euph. for drunk.

1851		Kalida Venture (OH) 11 Apr. 2/4: Drunk [...] faint.
a.1856		Burlington Sentinel in Hall (1856) 461: We give a list of a few of the various words and phrases which have been in use, at one time or another, to signify some stage of inebriation: [...] faint.