Dude - we are not Romans. The USA rejected the idea that parentage determines citizenship.
The meaning must be taken from the origins of natural law which was the law of England prior to the feudal conquest. English historians are very forth coming that the conquers were not able to shake every shred of natural law from the country. If it had been, Queen Anne would never have had the definition of law that extended birthright subjectship to children of subjects born abroad. She had to go back to the natural laws of ancient England when it was 1st formed.
Ignorance must be bliss and yes you are ignorant to think that the history of England which was ingrained into English children would have been cast aside when the founders wrote:
When, in the course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the laws of nature and of nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are life, liberty and the pursuit of happiness.
I challenge you to find me one shred of evidence that feudal law was based on natural law.