You are partly correct.
There are only TWO types of citizens (NOT THREE).
1. Citizen by (at) birth. (native)
2. Citizen by statute. (naturalized).
“Natural Born Citizen”, (poorly named, hence the confusion) is NOT a different TYPE of citizen. A Natural Born Citizen is a “citizen at birth”, but also has to meet additional, specific, constitutional requirements to be president. “Natural Born Citizen” is just a “term” used to identify someone who meets these special constitutional requirements for eligibility to the office of president (Article II) and vice president (Article XII).
The John Jay letter to George Washington expressing his concerns about foreign influences over our military through the Command in Chief, the president, helped to change the proposed language in the constitution to include the “term” “Natural Born Citizen”.
If the “term” “Natural Born Citizen” was no different from native citizen or just citizen, there would be no need for clause 5. Also it is a term only rarely used. It is not interchangeable with “native born citizen”. While NBC is used incorrectly in various lower court rulings, it is specifically spelled out in the unanimously decided in Minor v Happersett 88 u.s. 162.
It is also clear that the framers intended the term “Natural Born Citizen” to remain a specific term by repealing the act of 1790 with the act of 1795 correcting the misuse of the term “Natural Born Citizen” by eliminating it from the 1795 act, replacing it with “citizen”.
Doing research on “natural born citizen” using sources that predate 2007 will show a clear understanding of the phrase. There is no ambiguity or misunderstanding inherent concerning natural born. Those sources will clearly show that Obama, Romney, Santorum, McCain, Jindal and Rubio are not natural born citizens.
There have been many changes to online sources which attempt to subvert the constitution and the law. Those making such changes should receive harsh punishment. Those paying for the changes, Soros, should be fined hundreds of millions of dollars