@philmarusa something like this you want to start off with a new battery. Replace the old one [guide|14081]
If that does not resolve the issue you will have to check the charging port. It is possible that it has failed. Use this guide [guide|14084] to get to it and use a multimeter to chek the port.
Of course, you can get a small USB ammeter and see if your Kindle pulls any power and start diagnosing from there.