I refer you to the Constitution: There is a scale of qualifications for Federal elected offices. Any sort of citizen can qualify for any Federal office, except the Presidency, by satisfying residency and age requirements. In other words, a naturalized citizen, or a native-born citizen can become a Representative, or a Senator.
To become President,however, the Constitution clearly states that one is required to be a Natural Born Citizen. Therefore, there is a difference between a Natural Born Citizen and a Native Born Citizen, not to mention a naturalized citizen. But it is fair to say that there is no explicit definition offered in the document, except by differentiation. Most likely because the Founders took Natural Born Citizenship for granted. BTW, they knew they were not. You might find, in researching the source materials used by the Founders, "Natural Born Citizen" would then take on a much clearer meaning.
You, no doubt because of your most excellent education in the 1980's secondary schools of southern California, are joining a band of scholars who feel that a Native Born Citizen IS a Natural Born Citizen, a claim usually based on an interpretation of the 14th Amendment. If such is indeed found to be the case, well then, your side shall have won! Good news! Your side may even be in the majority. Let's see what the courts decide, when they get around to it.
Barak Hussein Obama, Jr. had the choice, upon reaching his majority, of choosing British, Kenyan, Indonesian, or American Citizenship. No such choice would be available to a Natural Born Citizen. There is no record of a choice being made. But assuming he chose American citizenship, that would not make him a Natural Born citizen.
However, although I think Barak Hussein Obama, Jr. is Constitutionally ineligible, he does hold the office, and is the sitting POTUS. He probably will remain in office until 2012, by which time Natural Born Citizenship shall have been much more precisely and publicly defined, perhaps by several states. At that time, we'll see who is eligible and who is not.
True, and the founders clearly understood that to mean a person who was born a citizen.
Therefore, there is a difference between a Natural Born Citizen and a Native Born Citizen,
No there isn't. The two terms are synonymous.