You’ve been had. “Natural born citizen. Persons who are born within the jurisdiction of a national government, i.e. in its territorial limits, or those born of citizens temporarily residing abroad.” — /Black’s Law Dictionary/, Sixth edition.
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According to that definition and current "thinking" (read - bastardization of the original intent of the 14th), anchor babies and the baby of a temporary visitor to the country such as a vacationer...would be Commander in Chief eligible.
The framers didn't read Black's Law Dictionary Sixth edition (1990) during the penning of the federal Constitution. They did, however read and reference Vattel's work during that Grand Convention at Philadelphia in the summer of 1787.
Additionally, the great Chief Justice Marshall, Chief Justice Waite, the father of the 14th Amendment John Bingham and others would disagree with Black's Law Dictionary.
Speaking of Dictionary's...
1928 Baldwin Edition of Bouvier's Law Dictionary, courtesy of bp1.
…most of the matter in the English law dictionaries will be found to have been written while the feudal law was in its full vigor, and not fitted to the present times, nor calculated for present use, even in England. And there is a great portion which, though useful to an English lawyer, is almost useless to the American student. What, for example, have we to do with those laws of Great Britain which relate to the person of their king, their nobility, their clergy, their navy, their army; with their game laws; their local statutes, such as regulate their banks, their canals, their exchequer, their marriages, their births, their burials, their beer and ale houses, and a variety of similar subjects?[1]