.... they could but light bars on to oblivion to log train position linked to reading of vibration at the house. As this data could then be used to find the point on the ride that gives problem vibration for local house, if there is a problem.
Yes, that's pretty much how they would do it, once they work out how fast the shock-waves travel through the ground, they can pinpoint the exact moment that the wave is generated. The solution might be as simple as adding in a ground dampener (essentially spring-loaded footers that absorb the shock - as used in city centres that have rail tracks near massive buildings)
Tree's are fantastic at dampening sound (hence why you tend to find music stages at festivals pointing towards them or in an area surrounded on 3 sides by them) but not so effective when dealing with shock-wave dispersion as the wave is using the ground level to travel along with little resistance.
I too agree with PeteB - I believe that the Ropers might be successful in their bid as the current justice system / human rights court / high court seem to act in the interests of the minority, rather than the interests of the bigger picture - choosing to favour the idealistic "no noise" lifestyle rather than accepting that the "pollution" is part and package of a bigger economic staple-house, one which might have even helped the Roper's own business at one point...