Lets do some other math. 10 generations at 20 years average would mean that 200 years ago .... 1800 to 1820 ish, someone got busy with the locals. That should not be too hard to check and find out who it was.
Your forgetting that she is 70 years old. 6 generations islatest 1829, 10 is 1740s
Average lengths of generations is iffy, and 20 years is possible, but not a good average. 200 years ago, large families were common. Not everyone can be the first child.
I am a little older than Elizabeth Warren, but my 8th Great Grandfather (10 generations) was Thomas Jefferson, the great grandfather of President Thomas Jefferson. He was born in about 1629.
...well, there goes her nomination to the Supreme Court.