Except you can't do that. The problem is Google has no idea that this is where the documents/e-mails went. All they can see is that a large number of documents and e-mails were sent outside of Google. I can't imagine Google would say, well it's okay if you take the law into your own hands. Any lawyer should be able to send a note telling Google to preserve the files for potential litigation. And given that she seems to have people sympathetic to her cause, it's unlikely that Google would be able to make all documents and e-mails she thinks are supportive of her case disappear.

Now, I can see if she wanted to take a few key e-mails out because any lawsuit needs some evidence or it might be quashed in summary judgement. So maybe that's what she thought she was doing, but it sounds like she grabbed a lot more than that. I would also really be wary of this because people can get death threats when e-mail that they thought was company internal are leaked out. I wouldn't be surprised that a bunch of e-mails will make it into a lawsuit with the people's names on them. Anyone knows that lawsuits can easily take an e-mail out of context to make it say something that is changed by the context around it. Even worse, company internal e-mails probably have a tremendous amount of internal company information.

There is no way that any company will just shrug and go, well if you sent it to yourself and your lawyer, then that it's okay that you might have sent out company secrets.