millinery vs lid

millinery and lid both are nouns.

Word	Noun	Adjective	Verb	Adverb
millinery	Yes	No	No	No
lid	Yes	No	No	No

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

millinery: hats for women; the wares sold by a milliner
lid: headdress that protects the head from bad weather; has shaped crown and usually a brim

Other hypernyms of millinery include chapeau, hat.

millinery (noun)	lid (noun)
hats for women; the wares sold by a milliner	a movable top or cover (hinged or separate) for closing the opening at the top of a box, chest, jar, pan, etc.
shop selling women's hats	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