The 14th amendment was not cited in the claims that either of these children were "natural-born citizens." The only thing this shows is that the judges took the claim at face value, which I've already mentioned in the original post. If it were challenged, then there is legal precedent through Minor v. Happersett and Wong Kim Ark to show that these children are not natural-born citizens.
OK, all teasing aside, if you have gotten to the point where your legal theory makes you think the 14th Amendment does NOT apply to people born in America of two citizen parents, then that should be your wake-up call that something is wrong with your theory. Rather than just going all in on a pair of twos, this is when you start asking yourself, “Uh Oh, did I really say that??? OMG, what was I thinking???
Everybody in the universe has said stupid stuff before, and the best way out is just to admit it. I have been wrong about stuff before and the more I tried to cover it up, the worse it got. Just let yourself be a human being and get out out of this trap while you can. That is my advice.
You have to forgive her. She doesn't get anything the first hundred times it is explained to her.