New York colonial documents state that Abraham Pietersen, of Haarlem took possession, in 1636, for the Dutch West India Company, of the Island of Quentensis in front of Sloops Bay (now known as Dutch Island). In another place [the island] is described as the Island of Queteurs in front of Sloops Bay and Pequator's River and in 1664 they speak of the special possession of Abraham Pietersen, of Haarlem, still living on the Island of Quetenesse, in the Narricanese Bay near Rhode Island and also of another island near the Pequot River, called by the English: The Dutchmen's Island. In a latter instance he is spoken of, as of Haarlem, owing to his having lived there when he became interested in the first mentioned Island. In 1638, he was spoken of as the first miller in New Amsterdam; an important and lucrative position in those days, and he is sometimes mentioned in the records as Abraham Pietersen, Molenaer, or Miller. In 1641, on August 29 he was one of the "Twelve Men" whom the commonalty chose and empowered to resolve on everything with the Director-General and Council, and on November 3 he was one of the "Eight Men" who sent a memorial to the State General of Holland, setting forth the distressed state on account of the Indian Outbreak, and begging for assistance.