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barrysloateJodi- I just thought of another angle. What we have in the case of Cartwright is the lucky coincidence that all the ancestors shared the same first name. Using my last example what if he instead wrote:
My father's name is Joe Cartwright and my grandfather's name is Harry Cartwright.
There is nothing different in theory from my first example, but would you agree we would now have no signatures? Because in the first example, he wasn't technically citing his own name; he was referring to somebody else.