Can you please state which section of the law specifically states that the father must be a citizen in order to be a "natural born citizen"?
I just did...I posted the text of the 14th Amendment.
That text specifically calls a "person born" in the United States a "citizen", it also calls a person naturalized a "citizen". The Amendment denies the States the power to abridge these citizen's all "privileges or immunities".
So, persons born and naturalized enjoy equal standing under the Constitution...except that naturalized citizens cannot be President. So it stands to reason that if under the 14th Amendment, citizens by geography, and citizens by act of Congress are equal, simply being a person born in the United States does not meet the Constitutional standard of "natural born citizen".
If there was a section of the law detailing such a thing as hat you are asking for, there would be no debate. Lacking that, one must look to the historical records surrounding the composition of the Constitution...the phrase "natural born citizen" must have had a very specific meaning to the Framers, otherwise they wouldn't have bothered to include it.
I believe that meaning can be found in Vattel's "Law of Nations", and that a natural born citizen is an individual to whom citizenship is a birthright passed on from his or her parents.
"...why all this effort about the BC?"
I believe it to be a distraction, and a subterfuge.
When he provides that BC, Obama will claim the matter settled, and make a whole lot of people look very foolish, completely avoiding the real issue of his Constitutional eligibility.
Requiem æternam dona eis, Domine; In memoria æterna erit justus, ab auditione mala non timebit.
Beauseant!