That MEANING is cited over a dozen times by authors of the constitution, and the term used in over a dozen supreme court cases with never any alternative definition. I won't clutter up the comments but will refer you the
http://puzo1.blogspot.com for the most explicit summary of references, and wonderful historical background. The meaning of most of the terms of art used in the Constitution are not defined in the document itself, just as engineering texts don't define force or integral or architectural design books don't define the formuli for steel or concrete. The common law is as much a part of the Constitution as the document itself. Hamilton and Wilson said Vattel’s Law of Nations was part of our common law. Vattel was the most cited legal reference between 1789 and 1821.
A more recent quotation of the relevant part, ‘born of two citizen parents’ can be found in the 2008 Senate Resolution, sponsored by Leahy, McGaskill, Clinton, Webb, Coburn, and Obama. Senator Leahy has just removed the document from his site, but it still resides in the Congressional Archives http://thomas.loc.gov/cgi-bin/query/z?r110:S30AP8-0040: The legal opinions regarding McCain are non-binding, but every senator in 2008 agreed that McCain's eligibility rested upon both of his parents being citizens, a fact they have all conveniently forgotten in less than two years.
Senator Leahy has just removed the document from his site, but it still resides in the Congressional Archives http://thomas.loc.gov/cgi-bin/query/z?r110:S30AP8-0040: The legal opinions regarding McCain are non-binding, but every senator in 2008 agreed that McCain's eligibility rested upon both of his parents being citizens, a fact they have all conveniently forgotten in less than two years. The link doesn't show the bill, I wonder what that signifies - all trace of this legislation down the memory hole? Anyway, I love that Obama was a co-sponsor. Talk about hoist with his own petard!