This is Lime Walk, a well-known path through St Andrew's Churchyard.
A lot of people call it Birdcage Walk now, and I think that's even on Google Maps, which just goes to show that places are called what people call them. The original Birdcage Walk is just opposite, running across the centre of Victoria Square, and I think it might even still have a sign up with its name on. But something that just looks as Birdcage Walk-ey as this is likely to claim the name in the long run, I'd've thought.
GPS Coordinates:
51.45518, -2.61472
Location: Clifton Central