I'm afraid once again I'm only putting two and two together but it might be possible that in 1901 George wasn't necessarily named with the surname Brian?
1871 census:
RG10/4647, folio 88, page 37
Yorkshire, Barnsley
19, Providence Street
George Castle, h. mar. 33, Engineman at Colly, b. Yorkshire, Dodworth
Ann, wife, mar, 26, Machinist, b. Yorkshire, Horsforth
John T, son, 3, b. Yorkshire, Barnsley
Jane, dau, 2 mths, b. Yorkshire, Barnsley
Kind regards,
Pels