So when you try to turn it on, all you get is the "writing image". Even after trying to charge it overnight, I assume.
So my son's Paperwhite had the same trouble. I thought that it was not taking a charge but when I plugged the charging cable in , the charging light would be on next to the on/off button.
If this is the same situation with you , then you will need to get to the battery to disconnect it for a few seconds then reconnect it. I included a couple of links to YouTube vids that will explain how to get the Paperwhite dissasembled to get to the battery. You'll might want to skip forward at some parts since the video is teardown and review of the Paperwhite. Just go to the sections you need to get to the battery.
This will show how to tear down and reassemble but vid quaility is not as good.
If you don't see the light turn on next to the on/off button when you are charging it or if your Paperwhite does not turn on after disconnecting and reconnecting the battery, you'll need to replace the battery. You can look for it on amazon or ebay.
Oh after disconnecting and reconnecting the battery, don't put it back together right away. Press the on/off button for a few seconds to see if it turns on. The on/off button will look like a copper bump near the charging input. You can see it on the first YouTube vid if you fast forward to 7min 50secs.
Hope this helps...