As has been written many times, a couple of things need to be acknowledged:
1. The 1795 law expanded on, and made more certain, the language of the 1790 law.
2. It is not unusual for a law that has been superceded to be repealed. The 1795 law was itself repealed after a while. You might notice no current law mentions the requirement of being white: "SEC.1. Be it enacted by the Senate and House of Representatives of the United States of America, in Congress assembled, That any alien, being a free white person, may be admitted to become a citizen of the United States, or any of them, on the following conditions, and not otherwise: --"
The 1790 law is the first law ever written on the subject. It serves a great function still, though, because it gives a definition of natural born citizen. That definition includes everyone born overseas to US citizens. That definition was affirmed by many of the Founders who were in congress and voted for that law, and it was affirmed via signing by George Washington, who had himself presided over the Constitutional Convention that used the expression "natural born citizen" in the Constitution. These same people, including George Washington, turned right around and used that term "natural born citizen" and helped define their intention for all time. Natural born citizen, they affirmed, included those born overseas to US citizens.
The 1795 law makes that reality even MORE binding by saying that "the children of citizens of the United States, born out of the limits and jurisdiction of the United States, shall be considered as citizens of the United States: Provided, That the right of citizenship shall not descend to persons, whose fathers have never been resident of the United States:"
In other words, this law AGAIN says that the children born to citizens overseas are citizens at birth. In fact, and you must notice this -- It says that those children have that citizenship BY RIGHT. It also says those children have that citizenship BY DESCENT from a citizen parent.
It is not naturalized citizenship. And if it is NOT naturalized it is automatic. That is what natural means...automatic based on the very NATURE of their birth.
They are NATURAL born citizens. They are not NATURALIZED citizens.
The first, NATURAL, is automatic. The second, NATURALIZED, is by government act.
Thank you so much for sharing your insights, dear brother in Christ!