@gembo: "Victorians used to ... get the train home from West Linton, possibly needing to change at Leadburn?"
You did indeed have to change at Leadburn to get from West Linton to Waverley. There was a bay platform at Leadburn for the Leadburn, Linton and Dolphinton Railway, and the trains from Dolphinton terminated there. There was a connection between the LL&DR and the Peebles Railway just south of Leadburn station but AFAICS it was only used to transfer construction materials for the LL&DR from the PR. (It was actually a factor in a fatal accident dyring the construction of the LL&DR, when five wagons laden with construction materials ran away northwards on the LL&DR, over a scotch block and through the connection on to the Peebles Railway. The wagons collided with a Peebles-bound express north of Leadburn, killing a small boy and seriously injuring five adults.)
As far as I can tell from my 1910* Bradshaws (facsimile, not original) the journey time from "Broomlee, for West Linton" to Waverley at that date was between and hour and ten and an hour and thirty minutes, depending on how long you had to wait for your connecting train at Leadburn. As there were only five trains a day in each direction, you might have had a bit of a wait at West Linton as well.
* So late Edwardian, not VIctorian.