Chester Arthur lied about his father's citizenship records and, in fact...destroyed all of his own personal papers afterwards in a continuing effort to conceal the truth. He was quite aware he was not considered a "Natural Born Citizen".
Vice President Chester Arthur succeeded Garfield to the presidency after Garfield's assassination and was never elected as the prime candidate.
Here is a copy of William Arthur’s 1843 Certificate of Naturalization:
http://naturalborncitizen.files.wordpress.com/2008/12/william-arthur-naturalization.pdf
William Arthur was a well known Protestant Minister in New England and his son never lied about his father’s status because it wasn’t an issue.