Notice that “children naturally follow the condition of their fathers” in there, too.
That’s an important point. There are some faithers and sand heads who claim the early English translations of Vattel didn’t use the term ‘natural born citizens’ but instead left it as ‘indigenes.’ But, knowing that indigenes are explained to naturally follow the conditions of their fathers, it can still be understood that the definition of natural born citizen used by the founders adhered to this concept as well, which still means Obama is not a natural born citizen of the United States.