Hi Ann,
Family of Barbara Conway are parents Michael and mother Mary Rudddy married in 1872,her mother is living with them in the 1901 census in Kilboy,Kilcommon,Co Mayo. Michael Conway's father was Terence this is anotated beside his name in Census,you can look at Griffiths Valuation List of Kilcommon and see there was a Terence in Kilboy.
Bartley Deane his parents James Deane and Cecelia Scanlon this family is also in the same place Kilboy,they married in 1866,now Bartley is not in the 1901 census.The family shows James Deane father wife Bridget,and children. The children listed are of James Deane and Bridget Calvey,therefore Cecila Scanlon must have died and James remarried,in 1874. In 1911 Bartley is living with his father and family.
Hope this helps.