hearthrug vs carpet

hearthrug and carpet both are nouns.

Word	Noun	Adjective	Verb	Adverb
hearthrug	Yes	No	No	No
carpet	Yes	No	Yes	No

As nouns, carpet is a hypernym of hearthrug; that is, carpet is a word with a broader meaning than hearthrug:

hearthrug: a rug spread out in front of a fireplace
carpet: floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)

Other hypernyms of hearthrug include carpeting, rug.

hearthrug (noun)	carpet (noun)
a rug spread out in front of a fireplace	floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)
	a natural object that resembles or suggests a carpet

hearthrug (verb)	carpet (verb)
	cover with a carpet
	cover completely, as if with a carpet
	form a carpet-like cover (over)