Middle English word coverchief comes from Old French chief, Old French covrir (To cover.)

Detailed word origin of coverchief

Dictionary entry	Language	Definition
chief	Old French (fro)	(anatomy) head. Front (foremost side of something). Leader, chief.
covrir	Old French (fro)	To cover.
covrechief	Old French (fro)	Cloth folded and used as a hat.
coverchief	Middle English (enm)	Hat or similar device used to cover the head.

Words with the same origin as coverchief