The United States Constitution says;"No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of...
No, you don't automatically become an American citazen if your child is born in America. Actually you can be deported at any time to the government you came from. All because you filed a form...
If you are a foreigner marrying a US citizen, then no you are not a US citizen. Marriage to a citizen does normally give you "permanent resident" status for the duration of the union, and qualifies...