Does the owner of a dog have sole liablity for dog that was hit by a car?

Question Details: I have a 3 year old son, who now has learned to open the door in the last few days. He opened it today and our dog ran out, it was hit by a car. Inititaly she didn't stop until several people waved her down. She told me that she was having a bad day and was talking on the phone. She didn't see the dog. She won't give me her name or address. But I do have her car tag. My question is Shouldn't she be partially resposible for the vet bill? I believe I should pay t he chunk of the bill, but I believe her inatentive driving played a part as well. Thank you.

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