Green’s Dictionary of Slang

vamp n.1

[SE vamp, that part of the stocking that covers the ankle and foot]

an old stocking that has had the foot repaired.

[UK]B.E. Dict. Canting Crew n.p.: Vamp [...] a Sock.
[UK]Hotten Dict. of Modern Sl. etc.
[UK]Sl. Dict.
[UK]Farmer & Henley Sl. and Its Analogues.
[Aus]Crowe Aus. Sl. Dict. 91: Vamps, stockings.