Green’s Dictionary of Slang

a prostitute.

1568		U. Fulwell Like Will to Like 14: Yonder cometh Ralph Roister [...] for thee he is so fit a mate, / As Tom and Tib for Kit and Kate.
1589		R. Richardson A golden mirrour n.p.: The brauest tipling tib; that is within the towne.
c.1608		Shakespeare Pericles IV vi: Thou art the damned door-keeper to every Coystril that comes inquiring for his Tib.
1646		H. Mill Nights Search II 99: One of his Tibs, full of the lustfull itch Did kick and bite. [Ibid.] 129: The jades are all too coarse; this frap must borrow a finer tib.
a.1661		‘A Psalm of Mercy’ Rump Poems and Songs (1662) II 197: Spare none, cry’s old Tib.
1677		in Coles Lat.–Eng. Dict. n.p.: A tib, mulier sordida [F&H].
1685		‘The Taylor’s Lamentation’ in Ebsworth Roxburghe Ballads (1891) VII:2 474: Then the young Tib did cunningly say, ‘Sir, if you are right willing to stay, / I have a Chamber here of my own, where we may kiss and dally alone!’.