I am bit bothered in case we go off in the wrong direction but she is the only one I can see in 1901 census with a father William.
There are no deaths though that I can see for the right aged William 1901-1920.

Looking at earlier censuses (for any Gypsy/Spanish descent)
1891 RG12; Piece: 602; Folio 107; Page 39
William is with stepfather Thomas Booker and mother Charlotte and siblings
1881 RG11; Piece: 786; Folio: 88; Page: 5
Edward Bashford 32 yrs Private 109th Regiment of Foot b Crowhurst Surrey
Charlotte Bashford 28 yrs b Portsmouth
William Bashford b Aldershot