Green’s Dictionary of Slang

beater-cases n.

[dew-beaters under dew n. + SE case]

(UK Und.) shoes.

[UK]G. Parker View of Society II 174: A highwayman will ding his Upper-Benjamin, his Jazey, his Sticks, his Flogger, his Diggers, his Beater-Cases, &c. and having all these on him when he committed the robbery, is totally transformed by dinging.
[UK]Grose Classical Dict. of the Vulgar Tongue ms. additions .
[UK]Grose Classical Dict. of the Vulgar Tongue (3rd edn).
[UK]Lex. Balatronicum.
[UK]B.M. Carew Life and Adventures.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[UK]G.W.M. Reynolds Mysteries of London vol. 2 142: Beater-cases Wellington boots.
[UK]Duncombe New and Improved Flash Dict.
[US]Matsell Vocabulum.
[UK]Hotten Sl. Dict.
[US]A.J. Pollock Und. Speaks.