I've never had this problem. When I first got my Kindle I charged it for 6 hours like I was told here then I waited till the battery was depleted and the message came up to charge it and left it on the charger overnight. I did this for the first 3 charges and my battery life is great and the battery gauge is pretty reliable.
I've never had the battery just died on me. I always get the warning with the battery low message and ! on the battery gauge.
I have a cell phone who had this problem turns out the battery was bad. You might want to give Amazon a call.