Are you looking for women who were a particular age in 1880, or a list of the popularity for all women and girls who were alive in
London at that time?
According to
Leslie Dunkling's
Guinness Book of Names, the 20 most common names for girls born in England & Wales as a whole in 1850 were
Mary,
Elizabeth,
Sarah,
Ann,
Eliza,
Jane,
Emma,
Hannah,
Ellen,
Martha,
Emily,
Harriet,
Alice,
Margaret,
Maria,
Louisa,
Fanny,
Caroline,
Charlotte, and
Susannah. I would bet all of those would have been well represented in
London during the 1880s. You can find the etymology for all of them on this site by clicking on the links.