Green’s Dictionary of Slang

rileyed adj.

[typical Irish surname Riley (plus Reilly and O’Reilly) and thus the stereotyping of the Irish as drunkards; the spec. source is the stage production of The Mulligan’s Silver Wedding ‘a low life comedy’ in Feb. 1881, in which was featured a song ‘John Riley’s Always Dry’ which listed the eponymous Riley’s prodigious drinking]

(US) drunk.

[US]M. Prenner ‘Sl. Synonyms for “Drunk”’ in AS IV:2 102: basted [...] Rileyed.
[US]A. Hardin ‘Volstead English’ in AS VII:2 88: Terms referring to the state of intoxication: [...] Verbs: Rileyed.