I would guess that the Commentaries are available online, but the second paragraph of "Chapter the Tenth" states:
The first and most obvious division of the people is into aliens and natural born subjects. Natural born subjects are such as are born within the dominions of the crown of England; that is, within the ligeance, or as it is generally called, the allegiance of the king: and aliens, such as are born out of it.
But regardless of the common law of England, or whether the law of Switzerland was ever as Vetter wished it to be, James Madison who attended the Constitutional Convention and participated in the debates (and who was often referred to as the "Father of the Constitution") wrote that the place of birth was definitive in the United States and that no further inquiry was necessary.
In my book, Obama is evil incarnate; his only redeeming feature being that his abject incompetence keeps him from achieving even greater depths of evil. But, the way to stop this guy is to firmly oppose his legislative agenda in the next Congress, undo as much of the damage caused by the last Congress as possible and work tirelessly to make sure that this guy and his minions in other elective offices lose as overwhelmingly as possible in the next election cycle.
Your concerns regarding Vattel and Madison have been answered..in the numerous natural born citizen threads and the Vattel research thread posted by rxsid. If you want answers please research the threads.