Answer: Oddibe McDowell
Oddibe McDowell began his MLB career with the Texas Rangers in 1985 at the age of 22. He hit .239 with 18 homers and 42 RBIs to go along with 25 stolen bases that season. That was good enough to finish within the top 5 of Rookie of the year voting.
McDowell came to Atlanta mid-season of 1989 and played 76 games. He came back for a full season in 1990 which turned out to be his last season in a Braves uniform.
In 189 games with Atlanta, McDowell hit .272 with 14 home runs and 49 runs batted in while swiping 28 bases.