"Vattel, who, though not very full to this point, is more explicit and more satisfactory on it than any other whose work has fallen into my hands, says "The citizens are the members of the civil society; bound to this society by certain duties, and subject to its authority, they equally participate in its advantages. The natives or indigenes are those born in the country of parents who are citizens."in THE VENUS, 12 U.S. (8 Cranch) 253, 289 (1814).
It's why we see Chief Justice Waite state
"At common-law, with the nomenclature of which the framers of the Constitution were familiar [edit: this nomenclature they were familiar with is directly mirrored to the definition found in Law of Nations...which the framers read and referenced during the Constitutional Convention], it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives, or natural-born citizens,"