lily family vs family Hyacinthaceae

lily family and family Hyacinthaceae both are nouns.

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

lily family (noun)	family Hyacinthaceae (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 in which some classification systems subdivide the Liliaceae but not widely accepted