John Jay wrote to George Washington, President of the Constitutional Convention,"Permit me to hint whether it would not be wise and seasonable to provide a strong check to the admission of foreigners into the administration of our national government; and to declare expressly that the command in chief of the American army shall not be given to, nor devolve on any but a natural born citizen." Jay not only knew of Vattel, as can be seen from his correspondence with James Madison in 1780 during treaty negotiations with Spain, but he was also a proponent of Vattel as well.
The first immigration act was passed by our First Congress in 1790. In chapter III we find direct references to Vattel's assertion that citizenship is derived from the father, in that citizenship was prohibited to children whose fathers have never gave intent to permanently reside of the United States.
In this same act, we also find the clarification of a Natural Born Citizen, as being one "And the children of citizens of the United States, that may be born beyond sea, or out of the limits of the United States, shall be considered as natural born citizens:Provided, That the right of citizenship shall not descend to persons whose fathers have never been a resident in the United States."
Residency was defined in that same act as someone under oath declaring that they wished to remain and live in the United States.
This “Birth Bone” is a manufactured distraction to avoid talking about Trump’s Natural Born LIBERALISM.
The arguments in there are modern, and they are compelling. Advocates for permitting naturalized citizens to hold the office are presented as well, so it's not a one-sided screed.