poorness vs barrenness

poorness and barrenness both are nouns.

Word	Noun	Adjective	Verb	Adverb
poorness	Yes	No	No	No
barrenness	Yes	No	No	No

As nouns, barrenness is a hypernym of poorness; that is, barrenness is a word with a broader meaning than poorness:

Other hypernyms of poorness include aridity, fruitlessness.

poorness (noun)	barrenness (noun)
the quality of being poorly made or maintained	the quality of yielding nothing of value
less than adequate	the state (usually of a woman) of having no children or being unable to have children
the quality of being meager
the state of having little or no money and few or no material possessions