One, (Prior to Obama) does not constitute "Several." Arthur kept his Father's nationality a secret, even going so far as to claim to be born in a different year than he was, to further obfuscate his birth history.
Getting away with a deception does not implicate the country in knowingly tolerating the behavior. They didn't know they were being deceived at the time.
I used Arthur as an example. There is also Woodrow Wilson (his mother was an Irish immigrant), James Buchanan (father from Ireland), Herbert Hoover (mother from Canada)...