Green’s Dictionary of Slang

(drugs) a large, generously filled marijuana cigarette.

1946		Mezzrow & Wolfe Really the Blues 215: New words came into being to meet the situation: the mezz and the mighty mezz, referring, I blush to say, to me and to the tea both; mezzroll, to describe the kind of fat, well-packed and clean cigarette I used to roll (this word later got corrupted to meserole and it’s still used to mean a certain size and shape of reefer, which is different from the so-called panatella).
1959		J.E. Schmidt Narcotics Lingo and Lore.
1969		R.R. Lingeman Drugs from A to Z (1970) 172: messerole [Ibid.] 171: meserole. [Ibid.] 176: mezzrole.
1989		(con. 1938) Courtwright & Des Jarlais Addicts Who Survived 132: We were smoking the best reefer around, because we were smoking meserole [...] Mezzrow was a man’s name, and the reefer took his name. He was musician. [footnote: Milton ‘Mezz’ Mezzrow was a white, Chicago-born jazz clarinetist [...] also well known as a dealer in Harlem, and imprisoned in 1940–42 for selling marijuana].
1989		J. Morton Lowspeak 98: Mezzrole – a highly potent marijuana cigarette.
2001		ONDCP Street Terms 15: Messorole — Marijuana.