As shown, Avraham Halperin, of Lublin is the son of siblings. Instead I suggest that he is the son of Rabbi Eliezer Lipman Ashkenazi-Halperin, A.B.D. Tiktin and Margela Mirele Halperin. Please see Jewish Encyclopedia showing is father merely as Lipman:http://www.jewishencyclopedia.com/articles/7492-heilprin