Great, I think I can enter a couple of teams to help you along. My first team will be the 1896 Phillies for hitting (with J. Taylor the pitcher, and I know it is not the Cub's J. Taylor) and the 1908 Red Sox for Pitching (with Speaker for hitting).
I'll try to come up with a second team. I know only the combo needs to be unique, however, part of the fun is coming up with a team no one else has.