Is this them in 1871 census?
William Mccluskey Head M 44 Ireland
Mary Ann Mccluskey Wife F 41 Ireland
Jane Mccluskey Daughter F 22 New Town Of Erington, Cumberland
James Mccluskey Son M 18 Carlisle, Cumberland
Mary Ann Mccluskey Daughter F 2 Haltwhistle, Northumberland
John Shaw Son-in-law M 25 Carlisle, Cumberland
William Shaw Grandson M 4 Haltwhistle, Northumberland
John James Shaw Grandson M 2 Haltwhistle, Northumberland
Catherine Shaw Granddaughter F 1 Haltwhistle, Northumberland
"England and Wales Census, 1871", database with images, FamilySearch