Batter \Bat"ter\ (b[a^]t"t[~e]r), n.
   The one who wields the bat in baseball; the one whose turn it
   is at bat; formerly called the {batsman}.
   [1913 Webster +PJC]
Source: The Collaborative International Dictionary of English

Batsman \Bats"man\, n.; pl. {Batsmen}.
   The one who wields the bat in cricket, baseball, etc.; in
   baseball, the batsman is usually called the {batter}.
   [1913 Webster +PJC]
Source: The Collaborative International Dictionary of English

batsman
     n : (baseball) a ballplayer who is batting [syn: {batter}, {hitter},
          {slugger}]
Source: WordNet® 2.0