The birthplace of one’s parents is relevant to determining natural born status only if the parents are foreign diplomats. Otherwise numerous courts over three centuries have ruled that a child born to alien parents in the United States is a natural born American citizen.
A recent court case in Indiana, “Ankeny v The Governor of Indiana” tested whether both John McCain (born in the Panama Canal Zone of American parents) and Barack Obama qualify as natural born citizens under Article 2, Section 1 of the US Constitution. Both the original trial court and the Indiana Court of Appeals ruled that McCain and Obama are natural born citizens. The Appeals Court pointed out in its decision that President Chester A. Arthur’s father was born an Irish citizen, immigrated to Canada and then immigrated to the US and eventually became a naturalized US Citizen.
The plaintiffs in this case attempted to use the foreign born parent argument to disqualify Obama. The Indiana courts rejected their argument.
The 14th amendment to the Constitution is clear: “ALL persons born or naturalized in the United States are citizens...” There are then two types of American citizens, born citizens and naturalized citizens. Born citizens can become president, naturalized citizens can’t.
Barry was born a subject of the British crown. There's nothing in American law or history that would say, with that background, he's considered a Natural Born Citizen for purposes of Article II, section 1, clause 5 eligibility.
So the question remains,
How can a Natural Born Citizen's status be "Governed" by Great Britain?