Hi smeghead,
Found William and Mary Ann in the 1871 census:
60 Gt Chart Street, Shoreditch
William Cuffey, head, 48, labouring in iron foundry, Middx Bethnal Green
Mary Ann, wife, 48 , Bethnal Green
Mary A, dau, 25, hair net maker, Shoreditch
Mary A Walton, neice, 10, scholar, Bethnal Green
Also living in same house are Overton and Webb families
good luck
Bob