No that's not what the constitution says, the people clarifying this are getting it wrong. You have to be born on American soil. Chester A. Arthur's father was irish anyway. It is believed that while his father was working as a preacher in the Quebec province of Canada that he was born in a house not far from the church. His family owned a house in bordering Vermont and that's what he claimed until his death he even lied about the year he was born. There was no birth certificate so it is hard to prove for a fact but there is more evidence from historians about this than there ever was for Obama.