Coenradt Van der Beek bap. Sept. 1, 1647 was not married to Elsje Jans Schaers. It has been proven that his wife was Elsje jans Pietersen, the daughter of Jan Pietersen and Grietje jans, the widow of Frederick Jansen. When Teunis G. Bergen published his book "Register in Alphabetical Order of the Early Settlers of Kings County, Long Island" page 317, he wrote " Coenradus Coenraet (Pouluse), bp Sept. 1, 1647; m. 1st Elsje or Eesje Janse (sup) Schaers; m. 2nd, Oct. 20, 1702, Catharine Cook, wid. Resided in Gowanus, mem of Br. D. Ch." As you can see, he wrote "supposed". I have the baptisms of the children of Coenradus van der Beek and Elsje jans and in each instance, the witnesses are members of the family of Elsje jans Pietersen.