Chester A. Arthur was rumored to have been born in Canada. His mother, Malvina Stone Arthur, while a native of Berkshire, Vermont, moved with her family to Quebec, where she met and married the future president's father, William Arthur, on April 12, 1821. After the family had settled in Fairfield, Vermont, William Arthur traveled with his eldest daughter to East Stanbridge, Canada, in October 1830 and commuted to Fairfield on Sundays to preach. "It appears that he traveled regularly between the two villages, both of which were close to the Canadian border, for about eighteen months, holding two jobs", which may well explain the confusion about Arthur's place of birth, as perhaps did the fact that he was born in Franklin County, and thus literally within a day's walk of the Vermont–Quebec border.
This was never demonstrated by his Democratic opponents, although Arthur Hinman, an attorney who had investigated Arthur's family history, raised the objection during his vice-presidential campaign and after the end of his presidency, published a book on the subject.
Arthur was born in Vermont to a Vermont-born mother and a father from Ireland, who was naturalized as a U.S. citizen in 1843, 14 years after Chester was born. Despite the fact that his parents took up residence in the United States somewhere between 1822 and 1824, Arthur additionally began to claim between 1870 and 1880 that he had been born in 1830, rather than in 1829, which only caused minor confusion and was even used in several publications. Arthur was sworn in as president when President Garfield died after being shot.
Yes his mother was a a natural born US Citizen. No one is denying that, but his father wasn’t.