Here is a more prominent authority on the subject. The father of the 14th Amendment, Representative John Bingham stated this on the House floor:
All from other lands, who by the terms of [congressional] laws and a compliance with their provisions become naturalized, are adopted citizens of the United States; all other persons born within the Republic, of parents owing allegiance to no other sovereignty, are natural born citizens. Gentleman can find no exception to this statement touching natural-born citizens except what is said in the Constitution relating to Indians. (Cong. Globe, 37th, 2nd Sess., 1639 (1862))
Then in 1866, Bingham also stated on the House floor:
Every human being born within the jurisdiction of the United States of parents not owing allegiance to any foreign sovereignty is, in the language of your Constitution itself, a natural born citizen. (Cong. Globe, 39th, 1st Sess., 1291 (1866))
Senator Ted Cruz’s father owed allegiance to foreign sovereignty, namely Cuba. According to Representative John Bingham, Cruz is not a Constitutional natural born Citizens eligible for Article 2 Section 1 Clause 5.
This falls into the unresolved area of doubt to which Chief Justice Waite referred, imho. Did Cruz's father owe allegiance to or fall under the jurisdiction of a foreign sovereignty? The answer is arguably no.
His mother was a US citizen.
That leaves Canada as the sole source of any foreign claims upon Cruz himself. Was he a Canadian citizen at birth? If so, he does not fall under the category of natural born citizen of the United States. If not, I'd go so far as to say that he could be, but there are several considerations that would have to be settled to make such a determination.
The most you can legitimately say about Bingham is that he is ambiguous or unclear. Why do you attempt to skew the evidence? As birthers always do, you leave out the Bingham quotes where he equates “natural born citizen” with “born a citizen.”
Not that Bingham was an early source, anyway. He didn’t start talking about citizenship until around 75 years after the Constitution was written.
Didn't Cruz's father flee Cuba and Castro? How much allegiance can he owe a country that would have put him in jail if they could have gotten their hands on him?