More likely, she would be the French equivalent of a "Jane Doe" or someone else who they could not prove their identity. The more questionable/compelling scena

More likely, she would be the French equivalent of a "Jane Doe" or someone else who they could not prove their identity. The more questionable/compelling scenario would be if she had some sort of contract in her name - loan, credit card, lease, whatever - and whether it could be enforced. At that point, the plaintiff would have to prove that a) the contract was valid and b) it was with her. Of course, since she doesn't have any form of ID, whatever notarization-equivalent wouldn't be possible. Or maybe, that's the loophole? Sign a contract with her for some small sum. She breaches the contract. Now sue her to prove her status and identity? My God, what a mess.