Sorry about the delay in replying - have been preoccupied with home renovations.
I don't have any information on my Edith Kate Padbury, only that she married into our Alexander family and her name just appears in the family tree handed down to me.
From the 1881 census I found a family in Lambeth I believe to be hers:
Harry Padbury, Tin Plate Worker age 30 b. Bishop Walton, Hampshire;
Sarah Emily age 32, b. Chichester, Sussex;
Frederick Wm. age 4yr b. Walworth, Surrey;
Lilly Elizth. age 2yr b. Kennington, Surrey;
Edith Kate age 1yr b. Camberwell, Surrey;
unnamed Baby age 1 mth, b. Camberwell
Sorry I can't help you, but perhaps there is a chance they might be cousins?