I have now tried 4 chargers / adapters, 3 similar including the original and one ‘alien’. Only the latter worked (with charging re-started during computer use when switched on), so many thanks for that. Also with the help of BatteryInfoView and BatteryMonitor Gadget I have discovered 2 of the ‘original’ chargers along with the blue light indicate charging is on when it in fact is not! With BattryInfo open I could see even that reported charging on, when the current received was zero and the cumulative charge remained constant at the same %.
I now need to check the ‘alien’ for reliability, and welcome advice on getting a more satisfactory charger.