In Georgia, under the family purpose doctrine you can be held responsible for the negligent driving of your child if they were living in your household at the time of the collision and you had control over your child. According to the facts you have presented it sounds like you will not be held responsible, your ex-wife however, may be a different story.
I would not build up too much anxiety about this. Except in the rarest of cases, a plaintiff's lawyer is trying to recover the value of the client's injury claim from the insurance company not you personally. Provided there are no coverage issues, the insurance company will hire you, your wife, and your daughter a lawyer to defend you in this suit.
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