Guys, cool down
Like some folks mentioned here, unless a child born to a diplomat, Each and Every child born in US (even to an illegal alient) is a US CITIZEN. That is the law. I have a 2 yr old daughter born here, and she does have a US Passport. The birth certificate given at the county is the ultimate proof for US citizenship.
And also, I heard like if a child is born during the flight, the child has the option to choose the Citizen of the country where the Airlines is based or the citizenship of the parents home country.
If a child born on a foreign ship in US waters (not international waters, I think it starts from 10 miles or something from the port) in a port, also gets the US citizenship