Nope. Both parents simply need to be American citizens at the time of his birth.
In obamas case it was presented that he obtained American citizenship by birth in America to Stanley Ann Dunham, his father being Kenyan
It was never settled that Stanley Ann Dunham a teenager was of age and citizenship duration to do so, based on further interpretation, nor that she was on American soil when she gave birth ( yeah yeah yeah we all saw the forged Hawaiian birth certs)
Kamel toe is completely off the range though since neither parent was American when she was born. Their later citizenship and thus hers was obtained by legal application...ie not naturally