Green’s Dictionary of Slang

(US) a striptease artiste.

1953		Indianapolis Star 3 Apr. 20/2: Sherry Britton, the Striptoosie at the Samoa.
1956		‘Monroe Fry’ in Esquire Mar. n.p.: ‘For Men Lonely,’ which lists places, with helpful descriptive aids, like ‘delightful striptoosie,’ ‘teasin', tantalizin' stripip,’ and ‘soooo wild ’n sexy’.
1957		‘Monroe Fry’ in Esquire 47 89: The strip tease is a native American art form and calls for the ‘striptoosie’ to appear before the audience fully dressed and take off her clothes, bit by bit, usually to a catchy tune, until nothing is left but a G-string.
1965		J.M. Cain Magician’s Wife (1986) 184: ‘She's what she is: a chantoosie, a striptoosie, a —’.
2019		(ref. to 1954) K. Clayton From Midway to Mainstage [thesis] 32: [note] The Dallas Morning News [in 1954] used the words ‘girlie’ and ‘striptootsie’ to describe striptease and the dancers who performed.