Driver at fault has no license

We were hit at the right side front wheel by a no license driver likewise car & insurance is not in her name. I said she has no license coz what she gave during the exchange of info is a photo from her phone of her passport id card She said that’s the only ID she has.

Shortly after she hit us, we all went down the car and first thing I said to her “you were not looking.” She admitted that she was not looking because apparently her baby was choking from her mucus. Then She moved her car to the side so we could exchange info. Our front wheel is misaligned and had to be towed.

After she moved her car she went to us with her baby she again said sorry and repeated that she attended to her baby.

Additional info. We were not able to call the police at that time. No one was injured. She came from the gasoline station and supposed to stop as were passing in front of her car. We decided to use our insurance because we want it brought/fixed at Tesla collision shop.

Question: do we need to report the no license at fault driver to dmv or will insurance handle this ?

Thanks in advance.