In message , Tim Lamb writes
Just some notes on this and earlier comments...
At least one of the boxes will need replacing, and there are visible problems with one of the securing glands. I believe all the armouring is still earthed though. The main armoured cables are definitely coded red, blue, white and one box has 2 whites earthed to the box. The third white in the same box is tested live. There is a bit of a family dispute (long distance at the moment) about what to do next. I think we need to disconnect and measure until we understand exactly what each individual wire does and which direction the power goes. Son thinks we just have to find a way to trace the cable until we find the underground junction box that he thinks must be there.
Anyway, I have invested a small amount in a pre-loved metal detector on ebay and will practise with it before he arrives back at the weekend. I don't really expect it to work. It may have to detect cable under crazy paving.
Running a new armoured cable on the surface tucked in at the base of walls would be possible, but the amount of gardening work involved is daunting and a couple of paths would have to be crossed.