brush vs cover

brush and cover both are nouns.

Word	Noun	Adjective	Verb	Adverb
brush	Yes	No	Yes	No
cover	Yes	No	Yes	No

As verbs, cover is a hypernym of brush; that is, cover is a word with a broader meaning than brush:

brush (noun)	cover (noun)
a minor short-term fight	the act of concealing the existence of something by obstructing the view of it
the act of brushing your hair	fire that makes it difficult for the enemy to fire on your own individuals or formations
the act of brushing your teeth	a false identity and background (especially one created for an undercover agent)
contact with something dangerous or undesirable	a recording of a song that was first recorded or made popular by somebody else
a bushy tail or part of a bushy tail (especially of the fox)	bedding that keeps a person warm in bed
an implement that has hairs or bristles firmly set into a handle	a covering that serves to conceal or shelter something
conducts current between rotating and stationary parts of a generator or motor	covering for a hole (especially a hole in the top of a container)
momentary contact	the protective covering on the front, back, and spine of a book
a dense growth of bushes	a natural object that covers or envelops
	a fixed charge by a restaurant or nightclub over and above the charge for food and drink

brush (verb)	cover (verb)
remove with or as if with a brush	sit on (eggs)
touch lightly and briefly	clothe, as if for protection from the elements
rub with a brush, or as if with a brush	protect by insurance
clean with a brush	act on verbally or in some form of artistic expression
cover by brushing	be responsible for reporting the details of, as in journalism
sweep across or over	maintain a check on; especially by patrolling
	protect or defend (a position in a game)
	hold within range of an aimed firearm
	play a higher card than the one previously played
	be responsible for guarding an opponent in a game
	provide with a covering or cause to be covered
	form a cover over
	copulate with a female, used especially of horses
	cover as if with a shroud
	put something on top of something else
	travel across or pass over
	hide from view or knowledge
	spread over a surface to conceal or protect
	be sufficient to meet, defray, or offset the charge or cost of
	to take an action to protect against future problems
	invest with a large or excessive amount of something
	help out by taking someone's place and temporarily assuming his responsibilities
	provide for
	span an interval of distance, space or time
	include in scope; include as part of something broader; have as one's sphere or territory
	make up for shortcomings or a feeling of inferiority by exaggerating good qualities