Green’s Dictionary of Slang

false n.

[SE falsehood; note 16C–18C SE false, a lie, a deception]

(US black) a lie.

C. Greer-Petrie Angeline Doin’ Society 2: If he had told a false, Lum wanted to be able to tell [...] about hit when he got home [DARE].
R.E. Kennedy Gritny People 20: I ain’ tellin’ no false [DARE].
[US]H.M. Hyatt Hoodoo (1970) 1 12: Dey’ll go, prob’ly uptown an’ tell a false’ on me an’ have me put in jail [DARE].