Schornstein's daughter, Meta, married Marcus Melchior, who was later also appointed to Chief Rabbi of Copenhagen, and then also to Chief Rabbi of the whole Jewish community of Denmark, as was his son, Bent Melchior. Bent's son, the great grandson of Schornstein, is Michael Melchior, former Minister of Social and Diaspora Affairs, a former Deputy Minister of Foreign Affairs, and a former member of the Knesset for Meimad.