family Anhimidae vs bird family

family Anhimidae and bird family both are nouns.

Word	Noun	Adjective	Verb	Adverb
family Anhimidae	Yes	No	No	No
bird family	Yes	No	No	No

As nouns, bird family is a hypernym of family Anhimidae; that is, bird family is a word with a broader meaning than family Anhimidae:

family Anhimidae: screamers
bird family: a family of warm-blooded egg-laying vertebrates characterized by feathers and forelimbs modified as wings

family Anhimidae (noun)	bird family (noun)
screamers	a family of warm-blooded egg-laying vertebrates characterized by feathers and forelimbs modified as wings