Patrick and Margaret Tierney are in the 1900 Boston census (transcribed as Turney). Patrick was born Feb 1866 in Newfoundland of newfoundland-born parents. He emigrated in 1888 and became naturalized in Boston on 14 Sep 1896 (on this form he says he was born in Newfoundland 22 Feb 1867 and was living at 4 Decatur St. in Boston at the time of his naturalization). He and Margaret were married about 1893 (as she emigrated in 1892, it's safe to assume they were married in Boston). She too was born in Newfoundland in Apr 1868, but both of her parents were born in Ireland. In this 1900 census, they have 3 children: Margeurite (born Feb 1894 and will marry Walter O'Halloran abt 1915), John (born June 1893) and Francis Vincent (born 19 March 1899). All children are born in Massachusetts.
In the 1910 census, transcribed as Tremey, they are living at 193 Chelsea St. and the family has grown to 7 children (they had 9 but 2 died). In order given: Margeurite, John L., Francis, Winnifred, Loretta (aged 7), Mary and Josephine.
By the 1920 census (transcribed as Kearney and living at 5 Lexington Avenue in Charleston) all 7 children are still at home, but Margeurite (Rita) is now marred to Walter O'Halloran and has 2 children Helen and Margaret). The children's ages are different to what they were in the earlier census, and order of age is now: Margeurite, John, Francis, Winifred, Josephine, Loretta (aged 14), and Mary.
By the 1930 census at 29 Washington St. in Boston only John and Mary remain at home with parent Patrick J. and Margaret.
Note: In all the censuses, Patrick is either Patrick or Patrick J. In one census he is listed as Patrick John.
Anyway, as Newfoundland was not in the 1881 or earlier Canadian censuses (it didn't become a province unti 1949, you should be getting on the Newfoundland and Labrador genweb website and try to find out where Patrick was born. If he was Catholic, it should be fairly simple as the Catholic churches kept fabulous records. Good luck.