Helvellaceae vs fungus family

Helvellaceae and fungus family both are nouns.

Word	Noun	Adjective	Verb	Adverb
Helvellaceae	Yes	No	No	No
fungus family	Yes	No	No	No

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

Helvellaceae: family of false morels or lorchels; some are edible and some are poisonous
fungus family: includes lichen families

Helvellaceae (noun)	fungus family (noun)
family of false morels or lorchels; some are edible and some are poisonous	includes lichen families