Natural born citizen means born here of citizen parents.
Native born would include children of foreign nationals and that is precisely who the founders were seeking to exclude.
They wanted to prevent any foreign influence on the Presidency by restricting the office to only those who are naturally Americans as they could not be anything else.
Obama’s forged internet image says he is ineligible.
His father is a foreign national.
“They wanted to prevent any foreign influence on the Presidency by restricting the office to only those who are naturally Americans as they could not be anything else.”
They failed.
Neatly stated.
If, as you claim, the Founders wanted to prevent 'any foreign influence on the Presidency', why then did they require a candidate to have only lived in the US 14 years, which for a candidate meeting the minimum age requirement would be only 40% of their life? Since the average age at which a President is elected is more than 55 years, that means that on average our former Presidents needed to only reside in the US for about 25% of their lives. Washington, himself, was 57 when he assumed office. He could have spent 43 years outside the US being 'foreign-influenced' and still have been eligible. Further, there is no 'both parents' requirement. Citizenship passed through the father, unless he was unknown, at the time of the writing of the Constitution and the status of the mother was irrelevant. A wife acquired the citizenship of her husband for all intents and purposes. Although the genders are treated equally in this regard now, only one citizen parent is required to confer citizenship at birth.
Your logic is badly broken and does not withstand objective scrutiny.
If Obama was born in Hawaii (or elsewhere in the US), he is a natural-born citizen. If he was born in a foreign country, then he is not. This is due to the very specific language in the Immigration and Nationality Act of June 27, 1952 regarding residency requirements for the mother of a child of an alien father. If born in the US he is a citizen by birth, and if born elsewhere, not a citizen at all.
In the context of the late 18th century, the main purpose of the clause was to prevent any future attempt to impose or invite a foreign born ruler to the presidency. Such was very common practice in Europe, for political and religious (really the same thing) reasons, for centuries. They didn’t want a William of Orange, a George I, or (as later happened in Mexico), a Maximilian brought in to return America to the “proven” system of monarchy. But it would and should have also, except for a treasonous Democratic Party and willfully blind press, kept out the affirmative action crypto-Muslim/Marxist foreign incompetent we suffered under for eight long years.
Ted Cruz is not a natural born U.S. citizen.