bear on vs bother

bear on is not a noun while bother is a noun.

Word	Noun	Adjective	Verb	Adverb
bear on	No	No	Yes	No
bother	Yes	No	Yes	No

As verbs, bother is a hyponym of bear on; that is, bother is a word with a more specific, narrower meaning than bear on:

bear on (noun)	bother (noun)
	something or someone that causes trouble; a source of unhappiness
	an angry disturbance

bear on (verb)	bother (verb)
have an effect upon	cause annoyance in; disturb, especially by minor irritations
press, drive, or impel (someone) to action or completion of an action	make confused or perplexed or puzzled
be relevant to	make nervous or agitated
keep or maintain in unaltered condition; cause to remain or last	intrude or enter uninvited
	take the trouble to do something; concern oneself
	to cause inconvenience or discomfort to