The accident was reported around 3:45 p.m. Thursday in the 6200 block of Large Street.
The young girl suffered a broken leg. She is in stable condition at St. Christopher's Hospital.
The vehicle is described as a white SUV, possibly a Kia, with gray front and rear bumpers.
Police described the driver as a white female, in her early 30s, with shoulder length blond hair, between 5'4 and 5'7, small to medium build, last seen wearing a white t-shirt.
Police are investigating.