Every British and low-production car in the world used the same Lucas motor (or a variation of it), and the same gearboxes, with only minor tweaks for different cars (the chrome bezel on the gearbox may have had different angles to accomodate different windshield angles). I have experience with them because they were used on the De Tomaso Pantera (and the Mangusta too, I believe), but they were also used on every Jaguar, AC, Cobra, Hillman, Mini, etc. etc. etc. ad infinitum. So if you happen to be in a country other than England, a local (or local-ish) vintage British car parts supplier (particularly Jaguar) should be able to hook you right up.
Page "V" (that's the letter Vee, not Roman numeral 5) of the original factory parts book shows the setup for the wiper system, presumably in its original orientation. It shows the wiper motor mounted on the left side of the car, with the cable running through the housing to the gearbox, entering it from the left of course. It also shows the standard Lucas washer bottle, screen pump and bracket; based on the drawing apparently it was mounted somewhere with the bracket facing aft, and the bottle facing forward, with the pump on the right side and filler on the left. This part is also common to every British car on the planet, easy to find, and cheap.
Cheers!