lily family vs subfamily Smilacaceae

lily family and subfamily Smilacaceae both are nouns.

Word	Noun	Adjective	Verb	Adverb
lily family	Yes	No	No	No
subfamily Smilacaceae	Yes	No	No	No

lily family (noun)	subfamily Smilacaceae (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 but not widely accepted, commonly known as greenbriars