“he was natural born by virtue of being born into the allegiance of the United States.”
Wrong, Chester Arthur was born into the permanent allegiance of the United Kingdom of Great Britain, and his allegiance to the United States was a temporary allegiance due to the United States having no naturalization law permitting the acquisition of U.S. citizenship by a child born in the United States with foreign parents. The allegiance was the temporary allegiance owed by any alien in amity resident or visiting the United States.
Theodore Dwight, Edward Dwight, Commentaries on the law of persons and personal property, pg. 125 (1894)