In high school, my Gran* told me that my Pop* was a descendant of Anne Boleyn.
She even had a book detailing the history of his family. (Although it was published before he was born.)
Turns out, in a way, she was correct. My Pop is a Shelton and is a direct descendant of Sir John Shelton and LADY Anne Boleyn, Queen Anne's aunt.
*My mom was raised by a first cousin and her husband, so while I am blood-kin to my Gran, she is actually my first cousin once removed (I think that's right), and I'm not blood-related (that I am aware of) to my Pop. So I personally cannot claim to be a descendant of Sir John Shelton and Lady Anne.
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Well, I wasn't really told any family stories (complicated reasons as to why). My mom did once tell me we were part Italian, though I have found no proof of that whatsoever. Smiths are a nortoriously difficult bunch to trace anywhere in the world.
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Internet research produced two Cherokee 6th greatgrandfathers. One one my mother's side (Tommy Ellis) and one on my father's side (Vincent Tanner). I've done the DNA thing and my understanding is it can fairly accurately tell you what percentage of European, African and Asian (which includes Native American) you are, within 5 generations.
So it's just shy of my "Cherokee" ancestors, however, I came back as 0% Asian and .27% African. Point-27 is just about the right amount for one 6th ggf.
So it seems that one was flat out lying and the other was of African descent passing as a Cherokee.