I have continued with the search using the new leads that everyone has given me.
The plot thickens
EMMA BRIGLEY in 1881 was aged 21 and governess living with her parents in High Street Uttoxeter
However, in 1871 when she was 11, she was with her parents in STONE ROAD UTTOXETER and her name was down as EMILY PAULINE BRIGLEY [note, the absent 'Emma']
But in 1891, when she was 31, still a governess, she was living with her father [noted as MARRIED BUT NO SIGN OF WIFE] in HIGH STREET UTTOXETER as they were in 1881.
All references show here as being born in Ireland, as with her father, Simon, who was UPHOLSTERER even at the age of 68 in 1891.
I have not found reference yet in 1901.
As to the granddaughter, she seems to have taken up a position as SERVANT in GLANFORD BRIGG Lincolnshire, District 13, in 1891, where her birthplace is recorded as MANCHESTER.
One further thing, I wonder if Arthur G Brigley's second name is GORE, as his son was christened CECIL GORE BRIGLEY?
Does anyone know if the family appeared in the 1861 census at all?
I feel that I am getting closer in some areas, but not in others.
THANK YOU TO EVERYONE FOR YOUR HELP