Not sure what you mean by that but here are the stats on Cain and his parents which clearly make him a natural born citizen.
Herman Cain born December 13, 1945 in Memphis, TN (Meets the Jus Soli Requirement) Parents were Luther Cain Jr., born March 16, 1925 in TN, died March 29, 1982 in Atlanta, GA Lenora Davis, born July 27, 1925 in GA, died August 20, 2005 in Atlanta, GA Both parents were US Citizens at the time of his birth (Meets the Jus Sanguinis Requirement) Herman Cain is a NATURAL BORN CITIZEN
The term natural born citizen is a bit more complicated. Founder James Wilson wrote we went back to the ancient Saxon customs when they formed the country. Not sure if he meant Anglo Saxon or Saxon.
During the Anglo Saxon period natural did not mean what it does today.
Shakespeare wrote the word natural in Henry the V to describe children.
The Founders use of natural in NBC certainly limits who can be President.
Natural is a Kind.