Rabbi Moshe Horowitz's son was Admor Avraham Chaim Horowitz (1850-1916). He was the last rebbe of Plontch (known as "Admore Plontch"). He became the community rabbi in 1894 and served at that post until 1912.
Rabbi Avraham Chaim was one of several brothers who served as Admorim. He had a few Chassidim from among the poorer people who would congregate around his table and in his room. He had some Hassidim in thesmall towns that surrounded Rzeszow.