If you decide to change the name on a passport which does not need to be renewed:
A Filipino passport can be amended by any consulate (My wife did it in Madrid). They just write your 'new name' in the old passport and stamp it. I assume DFA will do the same in Phil.
With a British passport in UK, the Passport Office can do the same.
Or as I keep saying. Under UK law there is no legal requirement to take the name of your husband, thus for everything, you can retain your maiden name, or if you wish, you can change your name to almost anything you wish, and have a passport in that name.
