Green’s Dictionary of Slang

mental aberration, due to ale-drinking; intoxication.

1594		Lyly Mother Bombie IV ii: If hee had arested a mare instead of an horse, it had bin a slight ouersight, but to arest a man, that hath no lykenesse of a horse, is flatte lunasie, or alecie.
1822		R. Nares Gloss. (1888) I 16: alecie, s. Drunkenness; the state of being influenced by ale: a word coined in imitation of lunacy, which means being under lunar influence.