MLB player Troy Tulowitzki throws right.
MLB player Troy Patton throws left.
MLB player Adam LaRoche bats left.
MLB player Troy Patton can bat right or left (i.e. he is a switch hitter).
NHL player Troy Bodie shoots right.
NHL player Troy Brouwer shoots right.
Left.
For right handed people they do catch with their left and throw with their right. For left handed people, they catch with their right and throw with their left. Both players have to potential to bat from either side of the plate.
Michael Vick throws a football with his left hand, but he writes with his right hand.
MLB player Will Smith throws left.
MLB player Will Venable throws left.
MLB player Will Harris throws right.
MLB player Will Middlebrooks throws right.