Green’s Dictionary of Slang

Captain Kettle v.

[rhy. sl.; the character Captain Kettle, created by Cutliffe Hyne, appeared in stories published 1893–1938]

to settle (after some energetic dispute).

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[UK]J. Franklyn Dict. of Rhy. Sl. 47/1: Captain Kettle Settle [...] Popular during the first decade of 20C.