She is at 5 Lansdowne Place, Lansdown, Bath.
Douglas Hunter, widower, 51, proprietor of house property, Scotland, Perth
Douglas E. Hunter, daughter, unmarried, 27, Herts., Walton
Fanelly Mattat, visitor, unmarried, 36, independent (various) fundholder etc, France, Bretagne...[illegible]
+ two servants
Yes, the daughter is clearly recorded as Douglas.
ADDED: as others have hinted at below, the head of the family is actually female, I was a bit sloppy here. So both mother and daughter are Douglas.