ballplayer vs batter

ballplayer and batter both are nouns.

Word	Noun	Adjective	Verb	Adverb
ballplayer	Yes	No	No	No
batter	Yes	No	Yes	No

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

ballplayer (noun)	batter (noun)
an athlete who plays baseball	a liquid or semiliquid mixture, as of flour, eggs, and milk, used in cooking
	(baseball) a ballplayer who is batting

ballplayer (verb)	batter (verb)
	make a dent or impression in
	strike violently and repeatedly
	strike against forcefully