Green’s Dictionary of Slang

cox n.

[play on cock n.3 (1), i.e. one who is ‘easily taken in’]

a fool.

[[UK]Marriage of Wit and Science II i: Such a cockbraine as thou art I neuer saw the like to it].
[UK]‘Mr. S’ Gammer Gurton’s Needle in Whitworth (1997) V ii: He showeth himself herein, ye see, so very a cox.
[UK]‘An Amateur’ Real Life in London I 539: Witness thy toast again, — Three C’s; / For who would think that thou by these / Meant Cox, and King, and Curtis!