"Silent" Mike Tiernan played his entire baseball career at the highest level with the New York Giants (1887-99), where the Rightfielder (pardon the pun) quietly was once of the better hitters of the 1890s.

Bob Welch split his career between two California teams, the Los Angeles Dodgers and the Oakland Athletics, and he brought success to both of those squads.

Art Fletcher made his way to the Major Leagues in 1909, where the Shortstop landed with the New York Giants.  Two years later, he was their starter, and he would be one of the best defensive players of the 1910s. 

Ed Morris is described by some baseball historians as one of the first great lefthanders.  That may or not be accurate, but he was the ace of a professional baseball team, and that can't be disputed.