Some authorities go further and include as CITIZENS children born within the jurisdiction without reference to the citizenship of their parents. As to this class there have been doubts, but never as to the first.
Notice the U.S. Supreme court used the word 'citizens', not 'natural born citizens'.
They needed you back during the Gilded Age. Everybody back then just did not notice that Chester Arthur’s father was born in Northern Ireland. Not only that, but he entered North America by way of Canada, then the US. But wait, someone did notice. A lawyer by name of Arthur Hinman tried your argument. Guess what, he got no where. People back in 1880 thought he was a nut too.