Green’s Dictionary of Slang

(Aus./US) a hand-rolled cigarette.

1940		‘Smokers’ Sl.’ in AS XV:3 Oct. 335/2: A cigarette is a [...] quirley (or spillquirley) (Note) Dr. R. D. Scott reports the use of quirley [...] among the cowpunchers of Arizona and New Mexico.
1953		Baker Aus. Speaks 106: To return to the field of popular Australianisms, here are some more items worthy of record [...] quirley, a cigarette.
1968		R.F. Adams Western Words (2nd edn) 242/1: Quirly, the cowboy’s name for his cigarette.
a.1986		‘Old Zebra Dun’ in G. Logsdon Whorehouse Bells Were Ringing (1995) 83: Now he rolls himself a ‘quirley,’ and he’s curlin’ his mustache, / Just like a winter boarder who’s a waitin’ for his hash.
1990		Tupper & Wortley Aus. Prison Sl. Gloss. 🌐 Quirly. Cigarette.