barrenness vs poorness

barrenness and poorness both are nouns.

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

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

Other hyponyms of barrenness include unproductiveness.

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