Is this a scam. Are the two women related, and in this together? It smells wrong.
My thought too. I would go to the police and report it on the basis that you suspect insurance fraud. Then I would send a copy of that statement made to the police to my insurance company.
I'm not sure how your car insurance company could cover you in this case as your car was not really involved and you were a pedestrian at the time. Some household policies cover policy holders and family members for public liability even outside the home. We are covered, for example, if one of us accidentally knocks over a valuable object in a shop.