If the attached image is the Kindle you own, it is a Kindle 1.
If charging overnight (from the wall) or using a paperclip on the reset hole in the back didn't work, it may be time for a new battery. At one time Radio Shack was selling batteries that worked in the Kindle 1. You may also want to call Amazon Kindle Support and ask their advice.
I still have a Kindle 1 and have a couple of batteries stockpiled away.