“Tradition” is where you start! There’s NO reason you couldn’t be their descendants! There would be MANY, and why shouldn’t you be one of them?
There’s an historical account of them meeting in England, after she had thought for years that he was dead. She was very upset, and her actions sure seem to be those of a jilted lover. She died shortly thereafter. Supposedly, they had had two children, Peregrin and Mary. The family says we’re descended from Peregrin, who was brought back to England from Jamestown. His granddaughter, also Mary, came back to America and married into a Quaker family, the Hiatts.
Looking into these things has given me an even greater appreciation for our country’s history. It’s been very gratifying! :-)