Article 1, Section 8, Clause 11: Brown v. United States
... only true of actions, that they are not condemned ipso jure, for other things also belonging to the enemy may be concealed and escape condemnation.” Vattel says, that “the sovereign can neither detain the persons nor the property of those subjects of the enemy who are within his dominions at the time ...
Article 4, Section 2, Clause 1: Corfield v. Coryell
... state to which it belongs, to be used by them according to their necessities, or according to the laws which regulate their use. “Over these,” says Vattel (book 1, c. 20, §§ 235, 246), “sovereignty gives a right to the nation to make laws regulating the manner in which the common goods are to be used
Article 4, Section 2, Clause 2: Case of Jose Ferreira dos Santos
... crimes, he says, they are connived at, unless otherwise agreed on, by treaty. In this doctrine, Vattel, asserts the right and obligation, in case of great crimes; but speaks only as to the subjects of the country, on which the demand is made.
Article 1, Section 8, Clause 4 (Bankruptcy): House of Representatives, The Bankrupt Bill
... it a fair conclusion that it was used in that sense. He then called the attention of the Committee to one of the rules of construction laid down by Vattel, B. II. chap. 17, section 276.
Article 4, Section 2, Clause 1: Bayard v. Singleton
... of persons who were sent out of this State under a particular act of our General Assembly, are not applicable to this case. That the case in Vattel, of the majority of the inhabitants of any country deliberately dissolving their old government, and setting up a new one, is neither in reason, nor in ..
The Founders Constitution
http://press-pubs.uchicago.edu/founders/index_beta.html
Almost all of the cases you cited had to do with international and maritime law. I have repeatedly said that Vattel was recognized as an authority on those subjects, and was quoted as such.
Doesn’t mean the Founders paid the least bit of attention to Vattel when he said the government should control religion (goodbye, 1st Amendment), that the government should be able to forcibly seize valuable workers to prevent them from leaving the country (goodbye, 4th Amendment), that only elites and military should be permitted to keep and bear arms (goodbye, 2nd Amendment), or that citizens had to be born to citizen parents.
They didn’t. That’s not what “natural born” ever meant.