Hello there, my great grandmother, Catherine Milway was daughter of Thomas and Anne Lawlor. Her sister was Mary Milway borm 21 June 1871. She had no other siblings. Mary Milway emigrated to America and married a Mitchell man. Catherine Milway married Thomas Fullam on 30 April 1907. They had four children and three grandchildren two of those grandchildren are alive today. I am a daughter of one of them! It sounds like it could be the same family about which you have enquired.