Tillean was the youngest son of Commodore Lucian Murat and Julia Murat. He had three other brothers that had already been killed before 2367. The only surviving brothers was named Lysander Murat. Tillean had an unnamed son, who was Julia's first grandchild.
Julia stated that Tillean understood the heart of his people. He was very good with tactics, knifefighting and bomb making. In 2364 Tillean and his son were attempting to disarm a bomb in one of the western wings of the Federation Battle Station Torgu-Va. The bomb went off and killed both Father and Son. (TNG novel: The Forgotten War)