He was the 3rd rebbe of Pshedburz (his mother was the daughter of Yisroel, the eldest son of the Chozeh of Lublin)
Rav Avrohom Moshe was born in 1840-1841) ת"ר - תר"א) and named Avrohom after his great grandfather, the Chozeh’s father, and Moshe after his great Uncle Rav Avrohom Moshe of Peshevorsk. He was taken as a son-in-law by Rav Gershon Chaim Landa of Kaminsk. The Tiferes Shlomo said of Rav Gershon that he was, “a guardian of the Bris Kodesh (covenant) and his son-in-law described him as having the countenance of a king.
He was widowed in תר"ך and he remarried the daughter of Rav Meir Abramson of Lublin. He remained there, steeped Torah and avodas Hashem.
When his father passed away, some saw him as the natural successor, while others did not. The dispute was sent to the famed Divrei Chaim of Sanz to decide, and he replied that although young in years, Rav Avrohom Moshe should take up the post of his forebearers. The Chozeh explained, “It is fitting that he sit in the rabbinic chair since his face shines with chochmah and yirah (wisdom and fear of Heaven. I am sure he will grow to be a great tree!”
Due to disputes, Rav Avrohom left Pshedburz for Silov near Pietrokov in תרכ"ט. There, in the year תרלב"ת, a vicious blood libel was spread, and he was falsely accused of the ritual murder of a gentile child for using his blood to bake matzos. On Pesach, he was attacked by a vicious mob. A pogrom was narrowly averted against the rav and his family when the child who had been missing was discovered after having been lost in the forest. Still, the mob, in their senseless rage wrecked the rav’s home in the middle of the seder, destroying furniture and even ripping up the floorboards.
In תר"ן, he left Silov for Ruspesha. Even there, he knew no peace. The Rav and Rebbetzin were accused of murder when a Shabbos goy died after he accidentally drank what he thought was liquor and was actually poison. After many efforts, they were released, but not before a mini-pogrom ensued and, again, they nearly lost their lives and their home to a bloodthirsty mob.
With Rav Avrohom at the helm of the chassidus, a great number of shtiebls opened up carrying the Ruspesha name across Poland. The rebbe also became well-known for his power of neginah. He composed many heartfelt chassidic niggunim. Chassidim testified that when the rebbe sang, “Hashem has reigned and clothed Himself in pride – Hashem malach geus lavesh,” they felt the gates of the supernal chamber of music on High open up and that they entered therein!
Even among the gentiles, the rebbe was renowned and respected. The local squire, Poritz Turabowski of Pietrekov, reportedly made no move without first consulting the Rebbe Reb Moshel’eh, as he was fondly known by his thousands of followers. Even after the rebbe’s passing, the poritz continued to visit his kever for brachos and yeshuos.
Towards the end of his life, in תרע"ו, Rav Avrohom returned to Pshedburz and remarked that he wished to be laid to rest among his forebearers. He returned his holy soul to its Creator on the 22nd of Elul, .תרע"ח
His sons were all rebbes: Rav Emanuel of Lodz, Rav Yeshayahu of Kalisch, Rav Yisroel of Radomsk, Rav Shlomo Zalman of Tomashuv, and Rav Chaim Elazar of Peshedbuzh. His son-in-law was Rav Binyamin Bunim, son of Rav Chaim Meir Epstein of Neistadt.