Green’s Dictionary of Slang

Moll Peatley’s jig n.

also Moll Peatley’s jigg, Moll Peatly’s gig, …jigg
[? the name of a well-known contemporary prostitute + gig n.2 (1)/SE jig]

sexual intercourse, ‘a rogering bout’ (Grose, 1788).

[UK]Bridges Burlesque Homer (3rd edn) 126: Whilst thus they danc’d moll peatley’s jig.
[UK]Grose Classical Dict. of the Vulgar Tongue (2nd, 3rd edn) n.p.: Moll Peatly’s Jigg. A rogering bout.
[UK]Lex. Balatronicum [as cit. 1788].
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue [as cit. 1788].