Green’s Dictionary of Slang

tom n.12

[possessing the characteristics of a SE tom-cat, where proper name Tom is a generic masculine]

a promiscuous woman.

[UK]Jonson Alchemist V v: Did not I say, I would never ha’ you tupped / But by a dubbed boy, to make you a lady tom?

In compounds

tom rig (n.) (also tomrigg) [SE rig, a wanton woman]

a promiscuous young woman; also a tomboy.

[UK]Wycherley Country-Wife IV iii: Where is this harlotry, this impudent baggage, this rambling tomrigg?
[UK]B.E. Dict. Canting Crew n.p.: Tom-boy, a Ramp, or Tomrig.
[UK]J. Dennis Letter III Remarks on Mr Pope’s Rape of the Lock (1728) 16: The author [...] represents her likewise a fine, modest, well-bred lady. [...] And yet in the very next Canto she appears an arrant Ramp and a Tomrigg.
[UK]C. Johnson Hist. of Highwaymen &c. 192: She was a very Tomrig or Hoyden, and delighted only in Boys-play and Pastime.
[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Romp, a forward wanton girl, a tomrig.
[UK]Lex. Balatronicum [as cit. 1785].
[UK]C. Whibley ‘Moll Cutpurse’ Book of Scoundrels 60: A very ‘tomrig and rump-scuttle,’ she knew only the sports of the boys.
[US]Monteleone Criminal Sl. (rev. edn).

In phrases

tom-tart

an older woman, the image is of promiscuity or even prostitution.

[UK]Sporting Times 2 Jan. 7/4: She wasn’t young [...] in fact she was a regular old Tom-tart [...] and she was trying to mash a youthful lordling.