the fact the street view has caught a train going over indicates they are very frequent.
It's the East Coast mainline, Edinburgh to London.
And yes, this is ball-chucking distance from Holyrood House, the Queen's Edinburgh gaff.
As for Edinburgh being expensive now, here's an example.
My DF grew up in a terraced council house on a council estate on the outskirts of Edinburgh within a very working class family (The Inch for Edinburgh folk).
Dh and I earn a joint income of just short of of 60K per annum and we could just about afford that house now, whereas we live 20 miles away in a decent 3-bed detached with a garage and big garden.
My parents sold their Edinburgh bungalow in 2001 for £180k and it sold again a couple of years ago for £500k.