Authorities responded to a call around 3:30 p.m. near Olive and Lewis streets.
The woman was in her car with an eight and 11-year-old when the shooting occurred.
Authorities say the woman was shot in the upper body and the 11-year-old was shot in the arm.
Both were taken to Community Regional Medical Center. and are expected to survive.
Police say they have identified a suspect and a suspect vehicle and are working to track them down.