Green’s Dictionary of Slang

1. an overcoat.

1830		Egan Finish to the Adventures of Tom and Jerry (1889) 309: To Philip Timothy Splinter, Esq., I bequeath my upper tog, my Benjaman, my wrapper, generally called a top coat.
1850		Killers 5: Dressed in a flashy wrapper, which thrown back, displayed a white vest and blue cravat.
1856		Newcastle Jrnl 12 July 2/4: Each private will [...] be allowed to retain the gray wrapper, or overcoat, the property of the British Crown.
1862		Freeman’s jrnl 1 jan. 3/3: [advert.] The Two Guinea Cambridge Wrapper. the above Fashionable Overcoat is the most convenient Garment for this Season.
1866		Wild Boys of London I 334/1: She was dressed in a loose wrapper [...] which was in keeping with her brawny arms and generally masculine appearance.
2000		J. Baker Chinese Girl (2001) 159: The only flabby thing about him was the wrapper he came in.

2. (Aus./US prison) a cigarette paper.

1918		H. Simon ‘Prison Dict.’ in AS VIII:3 (1933) 32/2: WRAPPER. Cigarette paper.
1949		Monteleone Criminal Sl. (rev. edn).
1950		Goldin et al. DAUL 239/2: Wrapper. (P) Cigarette paper.
1990		Tupper & Wortley Aus. Prison Sl. Gloss. 🌐 Wrappers. Cigarette papers.

3. (US Und.) a large-denomination bill that encloses a roll of lesser denominations; the intention is to appear well-off.

1907		Wenatchee Dly World (WA) 30 Sept. 4/2: He would carelessly fish out [...] a large Wad of the Green Kind with a Fifty for a Wrapper.
1930		‘Armitage Traill’ Scarface Ch. i: A crisp new bill of $100 denomination served as ‘wrapper’ on the outside. The inside, a few fives but mostly ones, expanded the $100 note until the roll looked to be worth ten times its real value.

4. (US) an unmarked police car.

1975

L. Dills CB Slanguage.