Elway, a musician eminently skilled in the art of composition, who flourished towards the end of Queen Elizabeth's reign. He was of Welsh extraction, and had been educated under Tallis, upon whose recommendation he was in 1589 sworn in gentleman extraordinary of the chapel; but from this situation, as well as from that of organist of Bristol cathedral, he was expelled in 1637, for his adherence to the Romish communion. He composed several services and anthems, and wrote a treatise on composition entitled the Art of Musicke.