Native born and natural born are the same thing. The words native and natural come from the same word source.
No, they don't.
native refers to soil; natural refers to nature, as in it flows through the blood naturally
Noah Webster, 1828:
In many cases, the nature of our governments, and of our civil institutions, requires an appropriate language in the definition of words, even when the words express the same thing, as in England. Thus the English Dictionaries inform us that a Justice is one deputed by the King to do right by way of judgment—he is a Lord by his office—Justices of the peace are appointed by the King's commission—language which is inaccurate in respect to this officer in the United States. So constitutionally is defined by Todd or Chalmers, legally, but in this country the distinction between constitution and law requires a different definition. In the United States, a plantation is a very different thing from what it is in England. The word marshal, in this country, has one important application unknown in England or in Europe. A great number of words in our language require to be defined in a phraseology accommodated to the condition and institutions of the people in these states, and the people of England must look to an American Dictionary for a correct understanding of such terms. The necessity therefore of a Dictionary suited to the people of the United States is obvious ; and I should suppose that this fact being admitted, there could be no difference of opinion as to the time, when such a work ought to be substituted for English Dictionaries...
I do not indeed expect to add celebrity to the names of Franklin, Washington, Adams, Jay, Madison, Marshall, Ramsay, Dwight, Smith, Trumbull...
Now when the soil is able vote in national elections & give birth to a living breathing baby that wants to be President, you will have your winner.