Elk v. Wilkins is specific to Native Americans (who, while physically born on US soil, are born as citizens of their specific tribe which also occupies that very soil), was decided in 1884 while wars with Native American tribes still raged (making Native Americans of the time perceived to be immediate enemies of the US), and is moot because of the Indian Citizenship Act of 1924 (which granted full US rights to Native Americans). Unless a child is born within the confines of the Honduran Embassy (which, while on US soil, is technically also on Honduran soil), we are actively at war with Honduras (and therefore would not allow any Honduran into the country without an exhaustive process in the first place), or we pass a law excluding Hondurans from our immigration process (which of course is unconstitutional and would bring sanctions from a great number of our allies), there's no legal basis at all for denying citizenship for someone born in the US..
I don't know how much clearer "All persons born or naturalized in the United States and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside" could possibly be.