Police spokesman Motantsi Makhele says police are investigating a charge of reckless and negligent driving and two people will appear in court on January 30.
Makhele said the vehicle was traveling on the pavement and pinned the woman to the wall of the building.
That child is unharmed.
Ramokhele was taken to Katleho Hospital in Virginia but was transferred to Pelonomi Hospital in Bloemfontein due to the seriousness of her injuries.
The video shows a woman getting out of the car after the accident, but a man then drives the car when they leave the scene.
Makhele said the 45-year-old owner of the car handed himself over to the police and said he was driving.
The man was released on warning, but shortly thereafter, police received new information that a woman was driving the car.
Makhele says the 19-year-old woman was arrested and is due to appear in court in Ventersburg on Thursday.