I'm not an an electrician but it seems to me that anything which was permanently overloading a circuit (e.g.through a short) would trip the RCCB as soon as it was reset. So you should be looking for something that only momentarily causes a problem. If the problem was related to turning a light on or off, resulting in a current surge, your neighbour would have almost certainly noticed that the circuits trip out as she operates a switch. Since that's not happened, the only other thing you've mentioned is the boiler. I suspect that it's a dodgy thermostat that's causing the problem, through arcing occurring when it cuts in or out. (It could also be a dodgy time switch, with a similar fault, but then your neighbour would have noticed that the problem always occurs at the same time).
However, while you've told us that there might be a link to the cooker, it's not clear from your post whether the power to that cooker actually goes off when the problem occurs. If it does, then it could be a fault within the cooker (with a dodgy thermostat still coming quickly to mind).