Green’s Dictionary of Slang

tipped adj.

drunk.

1641		S. Marmion Antiquary IV i: Why, they are as joviall as twenty beggars, drink their whole cups, six glasses at a health, your Master’s almost tipt already.
1658		R. Brathwait Age for Apes 248: Whence he infer’d he was a Titre-tu, An enemy to th’ State: streight to the place He sends his ale-tipt Sergeant with his Mace, To summon the Titterian to appeare.