no, citizen-at-birth is not the same thing as natural born citizen
(I am still voting for Cruz! not to worry, and no D can possibly challenge Sen. Croz, anyway, after they foisted Obama on us!)
You're right. Natural borns are citizens BY birth.
What amazes me is that watching Freepers over the years, they are SO skeptical of government, raising Cain about infringing the 2nd Amendment, railing against some ridiculous 'finding' of one court or another.
But oddly enough, when it comes to this particular subject, few seem to question or examine anything government says at any point in time...they just go "It's a citizen, so, okay!"
The lack of reflection on the issue just seems mind-boggling to me.