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.
Her name is Rebecca Holt on the death certificate and Find A Grave website.