Did our master Ali ibn Abi Talib have a son named Al-Hisn Al-Munabbi from a mother other than Sayyida Fatima?

Ali ibn Abi Talib, may Allah be pleased with him, had sons and daughters from women other than Fatimah, may Allah be pleased with her. The number of his direct male descendants reached fourteen, and his female descendants seventeen. No son with the name mentioned in the question was found among his children.