Green’s Dictionary of Slang

1. of the liver or kidneys, adversely affected by excessive gin drinking.

1888

Times 19 Oct. 5/6: A ‘ginny’ kidney, that is to say one that belonged to a person who had drunk heavily.

2. (US) tipsy; also in fig. use.

1830		J.B. Skillman N.Y. Police Reports 52: Ginny Broady, is pretty generally gin-ny — came from Brooklyn on an errand, and was nigh being led astray by gin. Promised to go home.
1916		Sun (NY) 9 Apr. 10/7: [List provided by a doctor in the alcoholic ward at Bellevue — terms from ambulance drivers] [...] ginny, google-eyed, lushy, off one’s trolley, slushed.
1923		O.O. McIntyre New York Day by Day 17 July [synd. col.] They talked of being ‘ginny’ and ‘cock eyed’ and how they were laying for this cop and that.
1933		Cab Calloway ‘The Lady With the Fan’ 🎵 When she comes by, hold your man, / She made Smoky Joe so ginny / He forgot about his Minnie.
1937		R. Westerby Wide Boys Never Work (1938) 199: A boozy old trot [...] She capers around, dancing on shaky legs, ginny tears rolling down her old cheeks.
1956		‘Charles Raven’ Und. Nights 105: He was trying to stop a Saturday night scrap between two ginny old judies.