No. Sorry.
I was a bit doubtful at times, because she knew about Ernie's visit in Russia, and I still have no idea, how Franziska Schabowska of all people should have known about it.
But, even ignoring the DNA, I think there are two many points that point against Anna being Anastasia. Most notably that they don't look alike at all. Anderson also seemed to old to me to be Anastasia.