The professional rights of the franchise go further back than that even. According to Wikipedia, in 1929 Ole Haugsrud, the owner of Duluth Eskimos, sold his NFL franchise rights for the Eskimos to Piggy Simandl, a wholesale meat salesman and sports promoter from Orange, who named his franchise the Orange Tornadoes. The team struggled to a 3-5-4 record and then decided to move to Newark for a fresh start. The next season the team received more bad breaks as head coach Jack Depler left the team to buy the Dayton Triangles and promptly moved them to become the Brooklyn Dodgers, raiding many of his former players of the Tornadoes to fill his roster.

The Newark squad went through three different head coaches in 1930. Now back to the Boston group receiving the old Newark team remnants, well none of the Tornadoes team members ever joined the Braves that didn't start playing until a couple of seasons removed from the Jersey based twisters team. The team lost $46,000 in revenue of that first season hence all of his partners bailed on the team leaving Marshall as the sole owner.

George was a larger than life showman, who thrived on attention. The group  originally named the team after the Boston Braves baseball team that played there but after very little support Marshall knew he had to change things up a bit. Prior to the 1933 season the nickname was changed to the Redskins to give his team their own identity. The team had limited success in Boston, and didn’t get much support from the community. The lack of support by both the fans and the media really came to a head when Marshall noticed that a local field hockey team was getting more press coverage than his beloved Redskins. This infuriated Marshall so a change of surroundings seemed to be in order, and the move to the Nation’s Capital changed the course of the franchise as they were crowned the NFL Champions in their inaugural year in DC. 

It is for good reasons that the NFL does not consider the Redskins to be a continuation of the Tornadoes, just as it does not consider the Tornadoes to be a continuation of the Duluth Eskimoes. Recently the Washington Football Team was rebranded as the Washington Commanders.