cocked hat vs lid

cocked hat and lid both are nouns.

Word	Noun	Adjective	Verb	Adverb
cocked hat	Yes	No	No	No
lid	Yes	No	No	No

As nouns, lid is a hypernym of cocked hat; that is, lid is a word with a broader meaning than cocked hat:

cocked hat: hat with opposing brims turned up and caught together to form points
lid: headdress that protects the head from bad weather; has shaped crown and usually a brim

Other hypernyms of cocked hat include chapeau, hat.

cocked hat (noun)	lid (noun)
hat with opposing brims turned up and caught together to form points	a movable top or cover (hinged or separate) for closing the opening at the top of a box, chest, jar, pan, etc.
	headdress that protects the head from bad weather; has shaped crown and usually a brim
	either of two folds of skin that can be moved to cover or open the eye