Hi Sylvia, I wrote to the Derbyshire Ancestral Research Group to see if they could fined my Grandfathers father in the Bastardy Bonds, they tell me they don't go back as fare as the1870s.
They sent me a 1871 census which is slightly differant to yours, just thought you might be interested.
A W Rhodes b abt 1870 Grandson
Charlotte b abt 1847 Daughter (My G-Grandmother)
Frances Rhodes b abt 1823 Wife
Frances Rhodes b abt 1861 Daughter
Mary Rhodes b abt 1855 Daughter
Richard Rhodes b abt 1859 Son
Thomas Rhodes b abt 1849 Son
Wm Rhodes b abt 1822 Head
Wm Rhodes b abt 1853 Son
All born at Brampton.
Regards Thos.