Indians were named Indians for the same reason, to honor one of their Native American players...
Had no idea. Found this very interesting too:
The city of Boston, was awarded an NFL franchise on July 9, 1932,[7] under the ownership of George Preston Marshall, Vincent Bendix, Jay O'Brien, and Dorland Doyle.[7] The team took the place of the temporary traveling Cleveland Indians, who themselves were operated under the franchise of the Newark Tornadoes[8] after the Tornadoes had left the league after the 1930 season and had sold its franchise rights back to the NFL. Despite this, neither the NFL nor the Indians claim the history of the Indians and Tornadoes as their own. Additionally, none of the members of the 1930 Newark Tornadoes roster,[9] and only two of the 1931 Indians (Algy Clark and Dale Waters),[10] remained by the 1932 Boston Braves roster.[11]
Initially, the new team took the same name as their landlords, the Boston Braves, one of the two local baseball teams at the time. The Braves played their first game on October 2, 1932, under the leadership of coach Lud Wray, against the Brooklyn Dodgers, to whom they lost 14–0.[12] The next week, the Braves recorded their first win, beating the New York Giants, 14–6.[13] Despite the presence of two rookies; halfback Cliff Battles and tackle Glen "Turk" Edwards — the new franchise's losses during the first season reached $46,000 and Bendix, O'Brien, and Doyle dropped out of the investment, leaving Marshall the sole owner of the Braves.[14][15] The team moved to Fenway Park[16] (home of the Boston Red Sox) the next year, and Marshall changed the name to the "Redskins". A 1933 news article quotes Marshall as saying that he did not name the team specifically in honor of Dietz or any of the team's native members, but because Marshall wanted to avoid any confusion with the Braves baseball squad while still keeping the native connotations of the previous moniker (unlike "Indians", used by another baseball team, no professional sports team at the time was using the name "Redskins").[17]