The following is directly from the US Constitution. Where is the part that defines natural born citizen? The fact that is not defined is why there is so much discussion. Your definition is just that, your definition.
5: No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty five Years, and been fourteen Years a Resident within the United States.
Read 18th century letters and reference works contemporary to the Framers to find your answer.
It’s there.
There actually is a definition there if you carefully look for it but if you’re blinded by the glory of Ted Cruz, you won’t be able to see it so don’t bother looking.