Calvin Alexander McVey was an American professional baseball player during the 1860s and 1870s. McVey's importance to the game stems from his play on two of the earliest professional baseball teams, the original Cincinnati Red Stockings and the National Association Boston Red Stockings. He also played on the inaugural National League pennant-winning team, the 1876 Chicago White Stockings.

The Cincinnati Red Stockings of 1869 were baseball's first all-professional team, with ten salaried players. The Cincinnati Base Ball Club formed in 1866 and fielded competitive teams in the National Association of Base Ball Players (NABBP) 1867–1870, a time of a transition that ambitious Cincinnati businessmen and ballplayer Harry Wright shaped as much as anyone. Major League Baseball recognized those events officially by sponsoring a centennial of professional baseball in 1969.