All those are natural born subjects, whose parents, at the time of their birth, were under the actual obedience of our king, and whose place of birth was within his dominions.(Cunningham, p.95, in section entitled "Aliens") Not quite what you claim. Also, I found the PDF for John Adams copy of "New Abridgement of the Law" by "A Gentleman of the Middle Temple" original page 77 (PDF page 105) has the identical quote. Given these two, and the estimable Mr. Blackstone, I won't bother tracking down any more of your citations on this matter.
“All those are natural born subjects, whose parents, at the time of their birth, were under the actual obedience of our king, and whose place of birth was within his dominions.”
Aliens, living in the country, were under obedience to the king. Blackstone discusses it. So if aliens had kids while in the UK, they were under the obedience and their kids were born in country - and thus the kids were natural born subjects.
That statement is in complete agreement with the discussion in WKA. So your reference agrees with Blackstone, WKA and me.
Sorry. 5:30 AM here. Thought I was replying to Ride3. Should be smart enough by now not to post anything before drinking a cup of coffee...maybe I should go feed the horses and have some coffee, and THEN read FreeRepublic!