We are in rented acommodation, so would have to ask landlord's permission, but how much would it cost to fit one double electrical socket into a wall? There is one in the adjoining room, on the other side of the wall to the place where we want the socket, so the wiring is presumably there already.
If we can't get one fitted, we will have to run an extension lead across a doorway, which is obviously a massive pita.
It's an old house, probably a bit over 100 years old if that makes a difference.