snap-brim hat vs lid

snap-brim hat and lid both are nouns.

Word	Noun	Adjective	Verb	Adverb
snap-brim hat	Yes	No	No	No
lid	Yes	No	No	No

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

snap-brim hat: a hat with a snap brim
lid: headdress that protects the head from bad weather; has shaped crown and usually a brim

Other hypernyms of snap-brim hat include chapeau, hat.

snap-brim hat (noun)	lid (noun)
a hat with a snap brim	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