Green’s Dictionary of Slang

corny-faced adj.

[SE corn, a horny lump that appears on the feet]

acned, heavily pimpled; seen as the badge of a drunkard.

[UK]B.E. Dict. Canting Crew n.p.: Corny-fac’d, a very Red or Blue pimpled Phiz.
[UK]Grose Classical Dict. of the Vulgar Tongue.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.
[UK]‘William Juniper’ True Drunkard’s Delight 247: Corny-faced – Red and pimply with drink. (not dated).