half-dugout vs pit-house

half-dugout and pit-house both are nouns.

Word	Noun	Adjective	Verb	Adverb
half-dugout	Yes	No	No	No
pit-house	Yes	No	No	No

As nouns, pit-house is a hypernym of half-dugout; that is, pit-house is a word with a broader meaning than half-dugout:

half-dugout: a primitive shelter, often temporary, having a significant portion of its structure dug below ground level; commonly has sod walls and a sod roof.
pit-house: a shelter for humans or domesticated animals and livestock based on a hole or depression dug into the ground; can be fully recessed into the earth, with a flat roof covered by ground, semi-recessed, with a constructed wood or sod roof standing out, or dug into a hillside.

Other hypernyms of half-dugout include dug-out, dugout, pithouse.

half-dugout (noun)	pit-house (noun)
a primitive shelter, often temporary, having a significant portion of its structure dug below ground level; commonly has sod walls and a sod roof.	a shelter for humans or domesticated animals and livestock based on a hole or depression dug into the ground; can be fully recessed into the earth, with a flat roof covered by ground, semi-recessed, with a constructed wood or sod roof standing out, or dug into a hillside.