The Jackson family arrived in New York on 14 July 1868 via the ship John Bright. Harriet’s autobiography indicates that they crossed the plains with the John Murdock company that same year. Her autobiography indicates that only seven of the eleven surviving children immigrated to America in 1868. However, the John Bright passenger list roster clearly shows Mary and John with nine of their children..
He was baptised in the Lehi Ward on 6 September 1874, at which time his birth date was recorded as 30 December 1863. His death certificate shows his full name as "Moses Joseph Jackson," but the record taken at the time of his baptism, when both he and his parents were still living is clearly notated as "Moses Joshua."