I did see that one Mally, his occupation is Auctioneer. I dismissed that at first because of him being an Articled Clerk, but wondering now if this could fit as he may have progressed from a clerk to an Auctioneer.

Just found this
1881 Census: 233 Golden Eagle, Lodge Road, Birmingham
Mary Cooper, Head.Wid, 37, Licensed Victualler, Dudley
Elisa H. Cooper, Dau, 15, no occupation, Oldbury (name reads Eliza)
Thomas R. Cooper, Son, 14,
Clerk, Oldbury
Named after his paternal Grandfather?John H. Cooper, Son, 5, Scholar, Oldbury
Florence M. Cooper, Dau, 3, Scholar, Oldbury
Julia Saul, Serv.UM, 17, General Servant, Middlesex
Baptism: 3 May 1876 Oldbury, Worcs (Ancestry)
John Henry Cooper - Parents: Richard John & Mary Cooper