Green’s Dictionary of Slang

drapery miss n.

also bit of drapery
[defined by Lord Byron, who heard it in 1811, as ‘a pretty, a high-born, a fashionable young female, well-instructed by her friends, and furnished by her milliner with a wardrobe upon credit, to be repaid, when married, by her husband’]

[late 19C–1900s] a woman who is considered sexually forward and who emphasizes her appeal by a flashy style of dress.