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My grandmother born in 1933 had told me years ago that we are blood relatives to Joan of Arc. My grandmother (Anne Marie Duvall-Barnhart) was born in (I believe) Nancy, France on June 3, 1933. I am unaware of her parents names but I do know that she had an older sister named Michelle. No other siblings. That is all I know but I have a burning desire to trace this back. Can anyone help me?
I have some advice, but you are not going to like it. The advice is that there is no substitute for doing your genealogy the same way, whether your family has a tradition of someone famous back the tree or not.
Even were the tradition true (and almost all such traditions aren't), you would have in the neighborhood of 100,000,000 different possible ancestral lines back to Joan's time, making it completely impracticable to trace them all. Likewise, when people do genealogy with a goal - 'I want to find a line that traces to X' - they tend to do bad genealogy because they reach conclusions based on the goal and not the evidence.
So, all you can do is use the French civil records to find your grandmother's parents, then their parents, etc., and follow it wherever it leads. With luck, you will get some of the lines back to the 17th century, and perhaps a few earlier yet. With even more luck you may find a connection to a family that can be traced to medieval times. That is when this group can help you.