Welcome to the forums, LoopyLady!
I would like to ask if you have tried to charge it another way: I know the charging block on my wall charger (that little box thing you plug into the wall) failed. Verizon replaced it under warranty.
If you haven't already done so, you could try charging it via a USB port on the computer for about an hour or two. Use an entirely different cable if possible. If it turns on after an hour, we have our culprit. If not, then we can safely begin to assume it's either the phone or the battery