Albert Albertse Terhune, Jr. (we have added the 'Jr.' for ease of distinguishing between this Albert Albertse Terhune and his father, the immigrant) was the second son of Albert Albertse Terhune(n). Whether he or his father was the actual member of a group that purchased 5,000 acres near to what is now Hackensack, New Jersey, is a question for historians but in any event it was the son who moved to New Jersey and built the first gambrel roofed house in that area. No longer in existence, it is pictured in a 1934 newspaper article. It was still Terhune occupied at that time. This is the 'New Jersey' branch of the Terhune family.
He was a farmer in Flatlands, Long Island, New York, where he was on the assessment rolls of the town 1675-6 and in 1683 his name again appears for property of 35 morgens. After this he moved to the Passaic patent. His name is on the church records of the Dutch Church in Flatlands, together with that of his first wife, as members in 1677 and his name appears on the records of the Dutch Reformed Church in Hackensack, 1689. He was a member of the New Jersey legislature in 1695-6.