I was born in RNH Mtarfa, Malta GC in 1966 and have the same paperwork you describe.
Back in the 80s, I contacted Somerset Hse to ask about getting a copy as I was concerned that should the day come when I needed a copy, I would have a faff getting one: They said the British High Commission in Malta would provide it. Sadly, I never followed through with getting a copy, so would be keen to know if they do indeed provide them.
Good luck, and regards to Mrs Ogre, who may like to know the old place is still standing but in need of some TLC.