poor box vs mite box

poor box and mite box both are nouns.

Word	Noun	Adjective	Verb	Adverb
poor box	Yes	No	No	No
mite box	Yes	No	No	No

As nouns, poor box and mite box are synonyms defined as:

poor box and mite box: box for collecting alms, especially one in a church

Other synonyms of poor box include alms box.

poor box (noun)	mite box (noun)
box for collecting alms, especially one in a church	box for collecting alms, especially one in a church