Torre noticed the baby as she drank coffee at an outdoor cafe in Brooklyn's Bay Ridge neighborhood Wednesday, the New York Daily News reported. Dillin Miller had somehow gotten onto the awning of a yogurt store next door to the Little Cupcake Bake Shop.
While someone else called 911, Torre talked to Dillin, trying to get him to stay on the awning.
"He helped himself with his arms. He was dangling. I knew he would be flipping very soon," she said.
When Dillin fell, Torre moved in and grabbed him midair. Witnesses applauded and said afterward she just walked away.
Torre's father played first base, third base and catcher during 17 years in the Major Leagues and went on to manage three teams, taking the New York Yankees to six World Series and four titles.
"I get my good hand-eye coordination from him," Torre told the News.
Joe Torre said he is proud of his daughter.
"You're happy to hear that your child is doing well. When you realize that she has helped somebody else do well, that puts the cherry on top," he said.
Dillin suffered no series injuries. Police said he got past a piece of cardboard placed in a window next to an air-conditioner.
The boy's parents, Tiffany Demitro, 24, and Sam Miller, 23, were charged with reckless endangerment and endangering the welfare of a child, police said. They have three daughters, ages 2, 3 and 5, and all four children are now in the custody of child welfare officials.
An aunt, who said she wanted to thank Torre, described Dilllin to the New York Post as a 1-year-old.