Good question northof49. Brooklyn Dodgers would be considered different than Los Angeles Dodgers, New York Giants would be considered different than San Francisco Giants, Boston Braves would be considered different than Milwaukee Braves which is considered different than Atlanta Braves. Philadelphia Athletics would be considered different than Kansas City Athletics which is considered different than Oakland Athletics and the St. Louis Browns would be considered different than Baltimore Orioles.
The idea is that no one can use two players from the same team name (example no two Boston Braves on the team or two New York Giants or New York Yankees) but you can use them if the city is different.
Hope this clarifies it for you and anyone else wondering.