hearth vs dwelling house

hearth and dwelling house both are nouns.

Word	Noun	Adjective	Verb	Adverb
hearth	Yes	No	No	No
dwelling house	Yes	No	No	No

As nouns, dwelling house is a hypernym of hearth; that is, dwelling house is a word with a broader meaning than hearth:

Other hypernyms of hearth include abode, domicile, dwelling, habitation, home.

hearth (noun)	dwelling house (noun)
home symbolized as a part of the fireplace	housing that someone is living in
an open recess in a wall at the base of a chimney where a fire can be built
an area near a fireplace (usually paved and extending out into a room)