Green’s Dictionary of Slang

(US) a young woman.

1913		Tacoma Times (WA) 10 July 4/4: Truss up in your Tessie-killers, get me?
1943		R.L. Bellem ‘Phoney Shakedown’ Dan Turner - Hollywood Detective Feb. 🌐 Then I reached down for the tawny tessie, propped her upright.