This sounds like a hardware fault, most likely the fault is due to a dead battery, or it could be a failing charging socket.
If you provide me your postcode I can recommend a suitable service centre to check the charging socket and battery, and arrange repair.
Sorry for the delay in responding Robert, please give me a short while I speak with the engineers who we have in your area.
I would recommend Computfixin on(###) ###-####9032, the likely cost is £25 including parts, if you drop it in this week you should get it back by next Wednesday, they are located within 9 miles of your postcode.
For more information please see their website here.