Perhaps the train does not go where the residents need to be, at the times they have to travel?
I have the great benefit of free travel on both train and bus, yet when I visit my daughter I drive. Why? Because it takes less than 40 minutes, door to door, at whatever time I want to leave and return, and I can carry as much as I need to in the car. The same journey by public transport involves two buses and two trains, or two walks, one quite long, in whatever the weather was doing, and two trains; And would take well over two hours - each way. No matter what is invested in improving public transport it will never be a viable or realistic alternative to the car for such a journey, and many others.
I last bought a car 3 years ago, and an electric vehicle would actually have suited me; But not at the cost of £10,000 more! If however, the price of electric vehicles was at or close to that of petrol/diesel models, I would be quite happy to electrify; Charging at home would not be a problem, elsewhere might however. This of course disregards the issues of national electricity supply, battery manufacture, safety, disposal, etc.....