I think I've found the name of Lydia but can't find a marriage for the moment.
On the 1881 census Lydia says he was born in Chideock, Dorset so I looked on the 1871 for a Lydia age approx 11 born Chideock and there was only one.
On the 1871 census living at the Torcross Hotel, Stokenham, Devon.
Edward Perrey Head 41 Coast Guard Common Boat born Plymouth.
Elizabeth Perrey wife 37 born Plymouth.
Mary Jane Perrey dau. 14 Dressmakers apprentice born Plymouth.
Martha Matilda Perrey dau13 Scholar born Chideock, Dorset.
Lydia Hilbrook Perrey dau 12 Scholar born Chideock, Dorset.
Henrietta Perrey dau 9 Scholar born Chideock, Dorset.
Frances Alice Perrey dau 5 Scholar born Stokenham, Devon
Jessie dau 2 born Stokenham, Devon.
I wonder if she married William but the name was spelt wrong?
Margaret