Well here's an update. The POCO re spliced at the xformer and weatherhead. No shocks for a week, but the current was still on the GEC just like before, so I have to conclude that it is normal like Don said. The shock must come from another source. Sure enough, they called today, the Old Lady got zapped again, pretty good they said. Also the caregiver. They took note of everything that was on at the time as I had asked them to do. 2 kitchen lights, the bath light and the microwave. Tomorrow I will go check these circuits.
Also I had another thought. The water mains are out front, in the street, with each house having it's water service entering at the front. The electrical services are in the back, they are bonded to the piping at the back spigot. Our AHJ's allow this, even though the code says the first 5 feet where it enters the building. Now in light of this, suppose a neighbor had an open neutral and their current was returning thru the water pipes. This current could enter the neighboring homes at the front, pass thru the homes piping then out the back where it would find the neutral at the bond. If the interior piping had some resistance, this would allow for a shock when another path, such as the Old Lady, was introduced, could it not? Or am I thinking too hard???