lily family vs Alliaceae

lily family and Alliaceae both are nouns.

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

lily family (noun)	Alliaceae (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 but not widely accepted; includes especially genus Allium