Green’s Dictionary of Slang

sexual intercourse.

1660		Wandr’ing Whore IV 9: Thats she that says she has a fiddle in her arse, which caused an old Lawyer to give her six pounds to sing and play the tune called Cuddle me Cuddy and hath as many P— in her C— than hairs upon it.
1715		D’Urfey Pills III 28: Playing with her at Cuddle my Cuddy.
1815		‘The Codbeck Weddin’ in Garland of Bells 21: The breyde [i.e. bride] wad dance ‘Cuddle me, Cuddy,’ / A threesome then caper’d Scotch reels.
1824		R. Gilchrist ed.) ‘The Northern Minstrel’s Budget’ in Coll. of Original Local Songs 2: Cuddle me, Cuddy — The Moreth rant — and liberty for Sailors.