There was a football team in Brooklyn during the 40’s which was called the Brooklyn Dodgers. But they were in the All American Conference, not the NFL. When the conference folded, the Cleveland Browns, Baltimore Colts, and San Francisco Forty-niners were absorbed into the NFL and the rest folded.
There was also a New York Yankees in that league, and also a Rams team in Cleveland, which couldn’t compete with the Browns so moved to L.A. They are now in St. Louis. I may have some of the names or cities wrong, but I remember the Dodgers.