Hi Bob.
Not really my thing either, but the Kymco is quite a good modern scooter.
Customer of mine has one, and tours up and down the country with no problems, and very comfy.
Not 100% sure on this one, but most modern and classic autos are charged from a regulater.
Stator puts out a high voltage, and cotrolled by the reg.
I have not ever found a non charge/over charge problem to be the fault of the stator on any modern bike/scooter.
There are normally good sites and forums to read, and I have an Auto repair manual at work (but I am for few days.)
Did the neighbour leave all the bits he removed as well