After the 1946 season the Yankees ended their affiliation and were replaced by the Boston Red Sox and the team was renamed the Wellsville Nitros.
In 1950 the Nitros changed their name to the Wellsville Senators when they became a farm team of the Charlotte Hornets in the Washington Senators' farm system.
The team became the independent Wellsville Rockets in 1951 when their one-year affiliation with the Senators ended.
During their time as the Braves the team, won 3 league titles; in 1956, 1959 and 1960.
In 1966, the Red Sox moved the team from Wellsville to Oneonta, New York, under the ownership of Sam Nader the team became the Oneonta Red Sox.