The shooting happened a few minutes before 6 p.m. near 73rd and Hermitage, police said.
The woman, 27, was shot in the arm and the 2-year-old suffered a gunshot wound to the leg, police said. She was taken to Holy Cross Hospital and the baby was taken to Mount Sinai Hospital.
"The neighborhood is really getting really bad. And [it's] a shame when kids can't go outside and just play, especially on a Sunday afternoon, just going to the park to play without getting shot at, and to have to be scared. The parents have to take them out of the neighborhood to go somewhere to play. It's just a shame," Pamela Burrell, victim's friend, said.
Both were listed in "stable" condition Sunday night.
Officials are investigating.
