stay vs visit

stay and visit both are nouns.

Word	Noun	Adjective	Verb	Adverb
stay	Yes	No	Yes	No
visit	Yes	No	Yes	No

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

Other hyponyms of stay include sojourn, layover, stop, stopover.

As verbs, visit is a hyponym of stay; that is, visit is a word with a more specific, narrower meaning than stay:

Other hyponyms of stay include outstay, overstay.

stay (noun)	visit (noun)
continuing or remaining in a place or state	the act of going to see some person in a professional capacity
(nautical) brace consisting of a heavy rope or wire cable used as a support for a mast or spar	the act of visiting in an official capacity (as for an inspection)
a thin strip of metal or bone that is used to stiffen a garment (e.g. a corset)	the act of going to see some person or place or thing for a short time
a judicial order forbidding some action until an event occurs or the order is lifted	a temporary stay (e.g., as a guest)
the state of inactivity following an interruption	a meeting arranged by the visitor to see someone (such as a doctor or lawyer) for treatment or advice

stay (verb)	visit (verb)
stay the same; remain in a certain state	assail
stop or halt	talk socially without exchanging too much information
overcome or allay	impose something unpleasant
fasten with stays	go to certain places as for sightseeing
be in a certain place and not leave	come to see in an official or professional capacity
stop a judicial process	pay a brief visit
dwell	go to see a place, as for entertainment
continue in a place, position, or situation	stay with as a guest
hang on during a trial of endurance