lily family vs family Asphodelaceae

lily family and family Asphodelaceae both are nouns.

Word	Noun	Adjective	Verb	Adverb
lily family	Yes	No	No	No
family Asphodelaceae	Yes	No	No	No

lily family (noun)	family Asphodelaceae (noun)
includes species sometimes divided among the following families: Alliaceae, Aloeaceae, Alstroemeriaceae, Aphyllanthaceae, Asparagaceae, Asphodelaceae, Colchicaceae, Convallariaceae, Hemerocallidaceae, Hostaceae, Hyacinthaceae, Melanthiaceae, Ruscaceae, Smilacaceae, Tecophilaeacea, Xanthorrhoeaceae	one of many subfamilies into which some classification systems subdivide the Liliaceae, it is a subfamily of the monocot family Xanthorrhoeaceae in the order Asparagales (Asphodelaceae)