Another thing someone just pointed me to - This is an excerpt of a speech by Jacob Howard, who helped right the amendment, "[The 14th amendment] will not, of course, include persons born in the United States who are foreigners, aliens, who belong to the families of ambassadors or foreign ministers accredited to the government of the United States, but will include every other class of person." And I replied pretty quickly before, but even with what you linked me, that is referring to legal residents, and most if not all of the issues regarding this situation today are about people who are either on vacation or illegal, not people attempting to get permanent residence.