Jacob J. Schermerhorn, s/o Jacob Janse Schermerhorn and Jannetie Egmont, m. Gerritie Hendrickse Van Buren and they had, among others: Elizabeth Schermerhorn bp. Aug. 28, 1698 Albany and m. Feb. 13, 1728 in Albany, Roelef Jansen. Elizabeth & Roelef Jansen had Johannes Jansen who m., below, Jannetie Schermerhorn, June 28, 1750 Albany Dutch RC; Gertrude bp. Sept. 12, 1731 who m. Johannes A. Huyck; Jacob bp. 5/16/1736 ADRC.
Jacob J. Schermerhorn and Gerritie Van Buren also had: Hendrick Schermerhorn who m. Elisie Jans Albertsen (Jansen)and Cornelius Schermerhorn who m. Margarita Jans Albertsen (Jansen).
Jacob Schermerhorn, Jr. who m. Antie Van Vechten and Elizabeth Schermerhorn who m. Roelef Jansen were brother & sister.
Jacob Schermerhorn, Jr., s/o Jacob J. Schermerhorn and Gerritie H. Van Buren m. June 23, 1714 in Albany, Antie Van Vechten and they had, among others: Jannetie Schermerhorn bp. 2/25/1728 Albany who m. (License)June 28, 1750 Albany Dutch R. C., Johannes Jansen. Jannetie & Johannes Jansen had Elisabeth bp. Jan. 19, 1751 with Roelof & Elisabeth Jansen sps.; Jacob bp. Nov. 18, 1753 with Cornelius Schermerhorn & Maria Winne wife, sps. Elizabeth Jansen d/o Janneie & Johannes Jansen, m. Coenraet A. Ten Eyck, s/o Anthony Ten Eyck, b. May 15, 1746, d. Dec. 14, 1825.According to Ten Eyck history, Elizabeth died of fright April 23, 1770 at the "Crupel Bush." Coenraet Ten Eyck m. (2) Rachel Hallenbeck Aug. 10, 1772.
Johannes Jansen died and Jannetie m. (2) Andries Ten Eyck July 25, 1763.Children (1)Gerritje Ten Eyck 1765-1848 m. Coenradt Ten Eyck, s/o Tobies of Pictuay and their daughterJane Ten Eyck 1783-1827 m. Andrew Van Derzee 1766-1834. (2) Jacob Ten Eyck bp. Dec. 20, 1772 d.y.
The Albertsen's (Jansen)- Jan s/o Albert Janzen & Elsie Jans m. (1) Geesje Jans Van Mappelen. Geesje was d/o Roelof Janzen Van Mepplen & Geesje Claes who m. ca 1691 Jan Albertse Jansen. Thus these are two different Jansen Families.There are many, Jansen Families in the Hudson Valley.
Anthony VanderPoel, b. Newark, NJ August 15, 1754, bp. Dec. 15, 1754 Newark, NJ,s/o Johannes VanderPoel and Apphia David (?) m. (Banns) May 19, 1776 at Albany DRC, Elisabeth Janssen of Schodack (Johnson as Vanderpoel Genealogy lists her). According to VanderPoel Genealogy they had first 5 children bpt. at Kinderhook and next six at Bradford Co., PA.They moved to PA ca. 1790.The last children, twins, were born Dec. 2, 1787.
I don't see any connection between these two Elizabeth Jansens.Hope this helps.