family Gruidae vs bird family

family Gruidae and bird family both are nouns.

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

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

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

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