He was signed as a free agent before the 1960 season, after being cut by the Packers after his rookie season.
Brown was quite prolific as a kick returner, leading the NFL twice in returns, return yards, and return touchdowns. In 1961 one of his TDs was a 105-yard return, longest in the NFL.
In 1963 he also attempted 3 passes, completing 1 for an 11-yard touchdown.
Timmy made the Pro Bowl in '62, '63, and '65.
In his final season with the Birds (1967), Brown only started 4 of his 7 games, and missed 7 games due to injury. After the season he was traded to the Colts for cornerback Alvin Haymond.
After football, Brown became an actor, and appeared in the M*A*S*H movie and a few of the early TV episodes. On the TV show, he played "Spearchucker Jones", the role played by Fred "The Hammer" Williamson in the movie.