The Ostrander Surname Project. Ostrander was not a hereditary surname until the 18th century in North America. Pieter(2) Pietersen born 1657 in Amsterdam son of Pieter(1) Carstensen and Geesje Jans. Pieter(2) married Rebecca Traphagen daughter of William Jansen Traphagen In Kingston (Old Dutch Church) New Netherlands 1679. Group Membership is required to view most information and collaboration efforts regarding the FTDNA Ostrander Surname Group.