fire hook vs fire iron

fire hook and fire iron both are nouns.

Word	Noun	Adjective	Verb	Adverb
fire hook	Yes	No	No	No
fire iron	Yes	No	No	No

As nouns, fire iron is a hypernym of fire hook; that is, fire iron is a word with a broader meaning than fire hook:

fire hook: fire iron consisting of a metal rod with a handle; used to stir a fire
fire iron: metal fireside implements

fire hook (noun)	fire iron (noun)
fire iron consisting of a metal rod with a handle; used to stir a fire	metal fireside implements