Green’s Dictionary of Slang

(US black) one’s house, one’s home.

1941		D. Burley N.Y. Amsterdam Star-News 22 Nov. 14: I’d cop a trot to her frantic dommy.
1944		Cab Calloway New Hepsters Dict. in Calloway (1976) 254: domi (n.): ordinary place to live in. Ex., ‘I live in a righteous domi’.
1944		D. Burley Orig. Hbk of Harlem Jive 105: I’m in this mellow dommie where everything’s got wings, understand, old man?
1946		Mezzrow & Wolfe Really the Blues 50: Harry Shapiro was crazy about musicians so we headed straight for his dommy.
1959		D. Burley Diggeth Thou? 34: She cut into his dommy and helped kill the fifth.