Trooper C. Gall of the state Highway Patrol said the child was properly restrained in the rear of the car at the time of the crash.
Gall did not immediately have the names of those involved in the crash, which occurred shortly after noon near the Zoo Road and West Tenth Street intersections.
The crash occurred when the driver of a Mini Cooper, in which the child was a passenger, ran off the road the road to the right. The driver overcorrected and then collided into a path of a pickup headed west.
Gall said the driver of the pickup got out of the vehicle on his own power and went to the hospital on a private vehicle as a precaution.
The child and mother, who was the driver of the Mini Cooper, were taken to the hospital. Injuries to the mother are not considered life-threatening, the trooper said.
Charges are expected.