I spent the afternoon writing down all the Head of Households from Hamers Terrace in 1871 and then finding matches on the 1881 in Briercliffe Road
Three match on the 1881 census for Briercliffe Road included the spaces between the individual households if you see what I mean, It was just enumerated from the opposite end.
At no. 62 Briercliffe Road was the Widowed Hannah Hamer who was the wife of Smith Hamer in 1871. No. 72 Briercliffe Road was Reuben Latham and at no. 80 would have been Martha Hamer if she hadn`t died in 1879. Her daughter was still there and a 1879 directory confirms that Martha Hamer, Grocer lived at number 80. I also found a baptism on Lan-opc for an Emma Hunter of 68 Hamers Terrace, Briercliffe Road in 1892.
So my theory for what it`s worth would be the block above the Old Duke.
Mo