Okay... on going back to the 1861 Census... I find that Thomas Frederick is actually Theresa Fanny.....
So another girl to find....
This looks like it might be her in 1871.. with some other COOPER family in the house.. but no relation obviously..
1871 Census England Cheshire Tabley Superior
RG10/3687/156/14
Manchester Road
In the household of Elizabeth OGDEN, wife of a Cabinet Maker, her daughter Clara married to Robert Owen COOPER...
COOPER Theresa Fanny Serv Unmarr 13 Nursemaid Knutsford Cheshire
Karenlee