batter vs ballplayer

batter and ballplayer both are nouns.

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

As nouns, ballplayer is a hypernym of batter; that is, ballplayer is a word with a broader meaning than batter:

Other hypernyms of batter include baseball player.

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

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