The toddler was taken to a local hospital.
The woman was hit in the hand but was not seriously injured.
The girl's shoe and candy basket could be seen on the street.
The little girl followed a 5-year-old across the street but was hit by the car.
Witnesses said the driver never even slowed down.
The Toyota is described as a red, late model 80s or 90s compact car.
Authorities said the car should have extensive front-end damage due to the collision.
Anyone with information is asked to call police at (213) 485-7336.