There is a family tree for William Phair 1860-? and Catherine Jane Hamilton 1862 - ? in ancestry.com.It shows her parents and grandparents, but there are no ancestors for William Phair. The family can also be found in the 1911 census in Ireland, Catherine is a widow, living in Ballinamallard township, County Fermanagh, Ireland.You can search the census for free at http://www.census.nationalarchives.ie/http://www.census.nationalarchives.ie/
This could be the same family, the childrens names match.