In 1678, as a member of the entourage of Governor
Edmund Andros (who was appointed by the
Duke of York to be the first proprietary governor of the Province of New York in October 1674), Graham sailed to New York aboard the
Blossom. In 1687, he was appointed to the Governor's Council under Governor
Thomas Dongan, 2nd Earl of Limerick. representing
New York County (the current New York County,
Manhattan), from 1691 to 1693 and again from 1695 until his death in 1701. From 1691 to 1694 and again from 1695 to 1698, he served as the
Speaker of the Assembly. In April 1691, Thomas Newton, then the Attorney General of the Province, left New York and George Farewell was appointed to succeed him but the General Assembly considered Farewell incompetent and, in May 1691, Graham was again appointed Attorney General, which he held until January 1701. ==Personal life==