Green’s Dictionary of Slang

malt liquor and water; thus eat hull-cheese, to become drunk.

1630		J. Taylor in Chandler Travels Through Stuart Britain (1999) 80: Hull cheese is much like a loafe out of a brewers basket, it is composed of two simples, mault and water, in one compound, and is cousin germane to the mightiest ale in England.
1678		J. Ray Proverbs (2nd edn) 340: You have eaten some Hull cheese. i.e. Are drunk.