"You have to be a "natural born citizen" which can either be accomplished by place of birth or by the citizenship of your parents."
It doesn't say "and." It says citizenship of parents OR place of birth. Born in Hawaii? Then citizenship of parents doesn't matter.
Yes, but Dog Gone was arguing to his position. His use of ‘or’ is his own willfulness — the Constitution and the meaning of the term of the Law of Nations known to the Framers at the time have no such ‘or’.
Nevertheless Dog Gone did not use the term “citizenship of the mother” or “citizenship of the parent”, instead he used “citizenship of the parents”, both parents.
At the time that the Constitution was written and ratified citizenship descended through one parent — the father when the parents where known, or the mother when the father was unknown. Under modern interpretation, by the use of the plural Dog Gone seems to have indicated that when child is born abroad, BOTH parents must be citizens. That seems right to me!