I've mapped other named houses in the area with loc_name=* as per this thread https://community.openstreetmap.org/t/should-i-tag-student-flat-names-if-so-how/124780 If you think it should be addr:housename instead that's okay but we should try to be consistent and change the other ones then!

I am also not sure the one you named here is the correct one. I uploaded this note from a moving car and I didn't have a chance to tell if the house named The Tower was number 1 or number 3, hence the "one of these two is called" :)