The hum starts at about 30mph, it is not loud at first, people who don't know what the car should sound like, have trouble hearing it. It increases in pitch and volume with acceleration. It is still present when coasting in neutral. It is no different when cornering or when accelerating rapidly (I don't normally spank her, she's getting old, but today I tried it - and she seemed to enjoy it).
The car passed its MOT yesterday and the garage say the wheel bearings are OK.
Since the sound began the rear brakes have been overhauled (new Shoes, Pads, Discs, springs, fitting kit), No change to the hum but the brake rattling and clonking has gone. Lovely.
It looks like the first step is to try a diff oil change.
The maintenance guide gives two grades of oil depending on your diff type but I understand that you can't tell what type of diff you have (LSD or not) until you take the cover off, if that is true, is there a type of oil that will suit both so I can buy it in advance?