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Chipper Jones is the most beloved figure in Braves' history.
While Cox had a major impact, he never played a game for the Braves. Glavine was great, but was at times overshadowed by Greg Maddux and John Smoltz. Warren Spahn may be among the greatest pitchers in the history of baseball, but he just isn't as beloved by the fans as the two finalists.
That leaves Chipper Jones and Hank Aaron as the two finalists for the most beloved figure in franchise history. Aaron was the better player and meant so much to many people, but it just seems that fans of the franchise gravitate towards Chipper. Jones' media presence is greater than that of Aaron, but that is due to the era we live in.
In conclusion Chipper Jones is the most beloved figure in franchise history, although I wouldn't argue if someone wanted to say that it was Hank Aaron.
This article includes five players with legitimate cases to be the most beloved player in Braves' history and doesn't even get into the likes of John Smoltz, Eddie Mathews, Greg Maddux and Phil Niekro among others. It also has a pair of players that are fairly equally considered to be the most beloved figure in franchise history. That only goes to show how great the history of the franchise is.