That is why your analogy was so utterly false...among many other reasons. The identity of the mother is not the subject matter being addressed by the application of natural law. In a patrilineal culture, the mother is the chattel or property of a husband, who is her master and guardian. In the patrileneal culture, the husband and master possesses the woman in part to produce his heirs and forge alliances among other families, clans, tribes, and nations. The wife had to take her husband’s and master’s citizenship to preserve the duty of obediance and loyalty to the husband, the husband’s family, the clan, the tribe, and so forth.
Of course,m if you really want the example of a matrileneal culture, take the Polynesians for example. Ownership and inheritance of property were through the female lineage only. The heir was the daughter. When the Mother produced only sons, she had no heir available to whom the estate and the civil power could be bequethed for inheritance. This problem was remedied by the expedient of taking one of her male sons and naturalizing him at birth as a daughter. He was required to be “considered as” a female and the daughter of the mother, inheriting the mothers civil powers and properties. Surely you did not intend to define such a daughter as a natural born daughter?
I understand you have an argument, everyone does.
So, in 2016, you're going to argue that the voters and their electors should deem Ted Cruz to be not a "natural born citizen" and thus ineligible to be president because his American mother was the chattel property of his father, a Cuban. Well, good luck with that one. Anyone who has ever seen a rerun of I Love Lucy is going to find that argument to be humorous, but incorrect.
And, what will be your pitch to Jewish voters?
I'm not saying you shouldn't come up with whatever precise NBC definition you wish to assist you in voting, but the rest of us are equally entitled to do the same. Expect at least some small variations in opinions. ;-)