The child and her mother were hit by gunfire Tuesday night while standing outside with a group in the Back of the Yards neighborhood in the 4500-block of South Paulina.
Their wounds are not thought to be life threatening. Police are looking for the shooter.
The 22-year-old woman was shot in the arm. Her daughter suffered a graze wound to the leg.
Police say the gunman was riding a bicycle. No one is in custody.