Think this is your family in 1881. Mary A. Gaukroger 42 Walter Gaukroger 20 George T. Gaukroger 17 Joe Gaukroger 15 Mary E. Gaukroger 10 Sam. Gaukroger 8 Mary A. says she is a widow by now: Walter is a hostler (innkeeper), George T. is a mill hand, as is Joe. They live at Bolton Brow, just outside Halifax on the way to Sowerby Bridge.
This is Walter's baptism record, giving his father as Jonas, not James: a reading error somewhere? Jonas was a tinner from Skircoat (same area).
West Yorkshire, England, Births and Baptisms, 1813-1906 about Walter Gaukroger Name: Walter Gaukroger Birth Date: 16 May [abt 1860] Parish: Sowerby Bridge, Christ Church Baptism Date: 15 Jul 1860 Father's Name: Jonas Gaukroger Mother's Name: Mary Ann Gaukroger