Falckner's published works include Grondlycke Onderricht, which first appeared in the Dutch language during 1708.
He is commemorated in the Calendar of Saints of the Lutheran Church on November 24 together with Jehu Jones and William Passavant.
He went to Rotterdam, where he and his brother Daniel accepted power of attorney to sell the land of William Penn in Pennsylvania.
On February 23, 1704, King Carl XII of Sweden issued an order formally confirming Rudman as Superintendent of the Swedish Lutheran Church in America.
Shortly thereafter, Falckner was reassigned by Rudman to serve as the pastor of the Dutch Lutheran congregations in Manhattan and Albany County, New York and Hackensack, New Jersey.