Green’s Dictionary of Slang

no-brand cigarette n.

also cigarette with no name, no-name (brand) cigarette
[one rolls such cigarettes oneself; there is no commercial packaging]

(drugs) a marijuana cigarette.

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[US]E. Folb Runnin’ Down Some Lines 172: The fact that a marijuana cigarette is not quite the conventional cigarette is reflected in terms like [...] cigarette with no name, brand X, no-name brand, no-brand cigarette.
[US]B. Hamper Rivethead (1992) 16: Puffin’ no-brand cigarettes while cursin’ their wives and kids.