Thomas is missing from the bit of 1881 census I have found.. However his wife is not listed as Head. I am sure that this is a split record but I cannot trace the other page.
England and Wales Census, 1901
Event Place Canton, Glamorganshire, Wales
Ecclesiastical Parish St John
Sub-District West Cardiff
Registration District Cardiff
Residence Note Leckwith Road
Thomas David Head M 48 Cardiff, Glamorganshire
Elizabeth David Wife F 46 Gretts Green, Staffordshire
Winifred David Daughter F 12 Cardiff, Glamorganshire
Lizzie David Daughter F 11 Cardiff, Glamorganshire
Mabel Blanche Chance Visitor F 22 Stourbridge, Worcestershire
Jack Allan Visitor M 0 Newport, Monmouthshire
Citing this Record "England and Wales Census, 1901," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XSMN-F9C : 29 August 2015), Winifred David in household of Thomas David, Canton, Glamorganshire, Wales; from "1901 England, Scotland and Wales census," database and images, findmypast (http://www.findmypast.com : n.d.); citing West Cardiff subdistrict, PRO RG 13, The National Archives, Kew, Surrey.
Sources
↑ "England and Wales Census, 1891," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:41QW-1PZ : 15 October 2015), Elizabeth David, Canton, Glamorganshire, Wales; from "1891 England, Scotland and Wales census," database and images, findmypast (http://www.findmypast.com : n.d.); citing PRO RG 12, Glamorganshire county, subdistrict, The National Archives of the UK, Kew, Surrey.
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