,Thanks Rusty. Every time I lift the manhole cover up there is stuff stuck in the drain gully when I know I've not used the toilet as I barely use it other than when I'm caught short in the garden which is like a couple of times a year if that. I end up flushing my toilet to clear it out. I couldn't understand where this stuff was coming from.
Some while ago, I had similar problems, with next door, the other half of my semi. We have shared rain water gulleys, one each front, and back. We have separated rain water, from grey/soil water systems, with the rain gulley at the rear, on my side of the fence.
When they revised their kitchen a pipe appeared poking through the fence, draining their sink, washer etc., then later a shower drain appeared at first floor level, poking in the rain water fall pipe. The rubbish/grease they were putting down, constantly blocked the gulley, flooding my garden.
It's illegal to discharge grey water, into a rain water system, so I reported the matter to the water authority. They wrote back to them, giving them so many weeks to resolve the problem, or risk court action. It was very quickly sorted. Not quite the same as your problem.