family Lophiidae vs fish family

family Lophiidae and fish family both are nouns.

Word	Noun	Adjective	Verb	Adverb
family Lophiidae	Yes	No	No	No
fish family	Yes	No	No	No

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

family Lophiidae (noun)	fish family (noun)
large-headed marine fishes comprising the anglers	any of various families of fish