Hell vs hellfire

Hell and hellfire both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hell	Yes	No	No	No
hellfire	Yes	No	No	No

As nouns, hellfire is a hyponym of Hell; that is, hellfire is a word with a more specific, narrower meaning than Hell:

Hell: (Christianity) the abode of Satan and the forces of evil; where sinners suffer eternal punishment
hellfire: a place of eternal fire envisaged as punishment for the damned

Other hyponyms of Hell include Gehenna, Tartarus, red region.

Hell (noun)	hellfire (noun)
(Christianity) the abode of Satan and the forces of evil; where sinners suffer eternal punishment	a place of eternal fire envisaged as punishment for the damned
(religion) the world of the dead