He left Ireland at a young age to be educated in Nantes and Paris, where he taught philosophy and rhetoric at the Collège des Grassins.
The Catholic Encyclopedia states "The college was seized by the Jacobites, the chapel was made a powder magazine, one portion of the building was turned into a barrack, and another into a gaol for persons suspected of disaffection to the royal cause.
With the librarian, Father McCarthy, he prevented the soldiery from burning the library, and by preserving its precious collections rendered an incalculable service to letters."
After the death of James II in 1701, Moore returned to France, where – through Cardinal de Noailles – he was appointed Rector of the University of Paris.
Blind for some years he had to employ an amanuensis, who took advantage of his master's affliction to steal and sell many hundred volumes of his choice library.