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Couldn't find a John Pedley on the 1871 census.  However he is on the 1891, living in John St, Brimington.
John Pedley  Head 56 Iron Pig Moulder born Selston Notts
Ann Pedley Wife  52  born in ?Searcliffe, Notts
Frederick Son 20 Iron?Boar Maker
Arthur Son 17 Blacksmiths Striker
Samuel  Son 15 Iron Fettler
Zillah Dau 11 Scholar
Ernest Son 7 Scholar
All the children were born in Brimington.
Also on 1881 census living Cotteral Lane, Brimmington
    
 John PEDLEY      Head      M      Male      46      Selston, Nottingham, England      Iron Foundry Labourer      
 Ann PEDLEY      Wife      M      Female      42      Scarcliff, Derby, England      Housewife      
 John PEDLEY      Son            Male      13      Brimington, Derby, England      Errand Boy Out Of Employment      
 Fred PEDLEY      Son            Male      9      Brimington, Derby, England      Scholar      
 Arthur PEDLEY      Son            Male      7      Brimington, Derby, England      Scholar      
 Samuel PEDLEY      Son            Male      6      Brimington, Derby, England      Scholar      
 Sarah PEDLEY      Dau            Female      4      Brimington, Derby, England      Scholar      
 Zillah PEDLEY      Dau            Female      1      Brimington, Derby, England            

Hope this helps.  Janan