Green’s Dictionary of Slang

1. (US black) a woman.

1933		Eve. Sun (Baltimore, MD) 9 Dec. 31/5: Band— a woman.
1950		Goldin et al. DAUL 22/2: Band. (South) A woman. ‘They Just snatched a chiv-man (a knife-fighter) and lagged him (put him in prison) for carving his initials on his band.’.
1960, 1975		Wentworth & Flexner DAS.

2. (Aus./US) a prostitute.

1949		Monteleone Criminal Sl. (rev. edn).
1955		N. Pulliam I Travelled a Lonely Land (1957) 230/1: band (cake, cromo, low-heel) – a prostitute.