In 1901 it looks like it was a family with the surname Lacey living at number 25. Head of the family is Annie F Lacey, bn c. 1857 in Eastbourne. I believe that they might well still be there in 1911, with George Gausden (who died there in 1932) living with them too.
Marriage for an Annie Florence Gausden to George Albert Lacey in St Pauls, Brixton in 1887. Annie gives her address as 3 St Leonards Place, Eastbourne. Her father is James Gausden, boat owner.