Robert Hunter's birthdate is variously listed as "1664" in Wikipedia, and "abt. 1675" in a familysearch submission. It appears more likely to be former, based upon several published sources, including "A Life of Robert Hunter, 1666-1734", by James E. Scalon. More research may be necessary to determine his accurate birthdate.
Hunter, Col. Robert, an officer in the English army, was appointed governor of Virginia in 1706 to succeed Sir Francis Nicholson, but in his voyage was captured by a French privateer and remained prisoner until the end of 1709. In June, 1710, he became governor of New York, and held that office till 1719. In July, 1727, was appointed governor of Jamaica and died there March 11, 1734.
the text in this section is copied from an article in Wikipedia
Robert Hunter (1666–1734) was a British military officer, colonial governor of New York and New Jersey from 1710 to 1720, and governor of Jamaica from 1727 to 1734.