It is unclear if Gary Peters had children or not. There isn’t much information about his children on the internet as he loved to keep his personal life away from the media.
Peters was named to the American League All-Star roster in 1964 and 1967 and finished in the top 10 in the Most Valuable Player voting in 1963, 1964 and 1967. He had a .222 lifetime batting average and hit 19 home runs and 102 RBI.
He was frequently used as a pinch-hitter, once winning a game with a pinch-hit home run. On May 5, 1968, Peters hit a grand slam in Comiskey Park, helping the White Sox to a 5-1 victory over the New York Yankees. He was also used as a pinch-runner.
On September 20, 2000, the Chicago White Sox announced that Gary Peters and 26 other former and active White Sox players were members of the Chicago White Sox All-Century team.