Green’s Dictionary of Slang

budge n.²

liquor.

1821		D. Haggart Autobiog. 48: He [...] asked me if I would accept a gauge of budge.
1864, 1867, 1870		Hotten Sl. Dict.
1876		St Louis Globe-Democrat 19 Jan. n.p.: They nominate ‘bottled electricity,’ ‘lemonade with a stick in it,’ ‘jig-water,’ ‘budge,’ ‘bilge-water,’ ‘bug-juice,’ ‘rat-poison,’ ‘fusel-oil,’ ‘red-eye,’ ‘liquid ointment,’ ‘cut nails,’ ‘hard head,’ ‘benzine,’ ‘nitro-glycerine,’ ‘oil,’ ‘tea,’ ‘eye-water,’ ‘chain- lightning.’ [...] they all want the same article, alcohol, more or less diluted.
1879		Dly Globe (St Paul, MN) 29 Oct. 1/4: The countryman, who, so full of budge as to be almost oblivious to all else, dispalyed a tempting roll of bills.
1881		‘Bill Nye’ Bill Nye and Boomerang 15: One day Damon got too much budge and told the [...] royal bummer of Syracuse what he thought of him.
1884		C.F. Lummis letter 10 Oct. in Byrkit Letters from the Southwest (1989) 22: There was some pretty good ‘budge’ there.
1891		Salina Dly Republican (KS) 25 Sept. 3/2: Budge — Ordinary drink of ordinary whiskey.
1902		S.E. White Blazed Trail 88: Every time he got a little ‘budge’ in him, he instituted a raid on the town owned by a rival firm.
1913		(con. 1875) Jocknick Early Days on the Western Slope of Colorado 90: That demijohn of ‘Old Budge!’ that booze! which makes all our troubles so light!

In compounds

budge kain (n.) [ken n.¹ (1)]

(Scot.) a public house, a tavern.

1821		D. Haggart Autobiog. 171: Glossary [...] Budge kain, a public-house.
1824		Annals of Sporting 1 Feb. 120: Let us see [...] if his opponent do not own lushing in a budge-kain sport quite as easy as the milvadering he is engaged in .