People have been arrested, tried, sentenced to prison and released from prison without ever having been identified.

I did once manage to get ID based purely on arrest/jail paperwork (who just wrote what I told them) and an envelope that was addressed to me, so resurrection could be possible.

"as French citizens are required to carry identification papers. If they are stopped and cannot show them, they can be fined."

Which made me think of that already, how are they going to fine a "dead" person?

They can do it but the fine will bounce. Or they could take the person to the police station to be identified if/when they find out that the person uses invalid documents of a deceased person. It could maybe help if police stopped her for ID because her problem would then also become their problem.

Counterfeiting money would probably be a more viable alternative; provides her income to survive, and is closer to a victimless crime.

No. Being "declared dead" doesn't mean the state is required to pretend you're actually dead, rather it means you're "dead" as a legal entity as far as the bureaucracy is concerned - your assets will be distributed as necessary, you can't have a drivers' license, passport, can't vote, etc. If you commit a crime while declared dead, obviously you'll just be arrested and tried like anyone else.

Who will be charged? A legally dead person. Nice. That will be fun to write up. But they will. Because they're idiots.

Of course they will. When legal details becomes an obstacle for what the state wants, the details are brushed aside as unimportant with an appeal to "common sense". When those same details are an obstacle to what an individual wants, we're sorry, it's not our fault, that's just what the law requires and we must follow the law, even if we don't want to. And if you have a complaint, there's a process for that. It may take a great deal of effort on your part, and years of waiting, but again, that's just the process and there's nothing to be done.

Of course they will because they have a crime and there's someone in front of them to pin it on. Thats the hot potato approach that most legal systems rely on. The follow up is to determine whether the person they have is the right one. Even if they have to drag it out for years. Which in some cases they do.

They would be idiots not to. Otherwise, getting some crooked doctor or administrator to declare you dead would mean you could never be charged with a crime.

So long as you get a life sentence, it's all good.

They could just charge her as Jane Doe