lily family vs family Asparagaceae

lily family and family Asparagaceae both are nouns.

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

lily family (noun)	family Asparagaceae (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 families or subfamilies into which some classification systems subdivide the Liliaceae: includes genera Asparagus and sometimes Ruscus