Geoff
I have found the family again in 1881 - living in what reads like "21 Marshall Street", Birmingham. Again she is listed as Caroline. Her occupation is given as "Coat Maker". Her place of birth is given as Dudley, Staffs.
Louisa Isaacs, 40
Caroline Isaacs, 17
Joshua Isaacs, 14
Anne Isaacs, 11
Solomon Isaacs, 10
John Isaacs, 7
Esther Nathan, 66