I stayed in this Landmark Trust property in Princelet Street last year. The layout of the hallway leading through to the yard looks quite similar to that of 29, Hanbury Street (it backs on to properties in Hanbury Street).
Having looked vicariously at several of the early 18th century buildings remaining in the area around the Ten Bells, I can say that there is a definite pattern to how their interiors are configured...at least until the modern developers come in and start mucking about.
I did find an older listing for a flat in the old Board School. It's no longer active and the pictures are kind of fuzzed out but you can still see what it looks like. Amusingly, the old rooftop recreation ground that the children used to play in is now a communal deck/lounge area. Somethings apparently don't change.