The comparison with cars is not a very good one, as people own their own cars and are 100% responsible. In this case, it would be like Hertz lying and saying that they didn't know who had hired a car, which had been in a crash.
This is what Lime have done, when it's evident that they absolutely must know, as they can only be hired, by paying with a card.
The victim's lawyers have told her that, without a name, they cannot claim.
Someone said that she has gone to the Motor Insurers Bureau, which, from personal experience, do take ages, ignore facts and lie about it, keep demanding paperwork they already have etc.