1998 Chevy Cavalier Battery still won't charge

Hi,
My battery light came on then the car died. I took it a local store that told me the battery was dead so I replaced it. Charged it and brought it to another store that told me that alternator was no good. I replace that and have the same problem. The battery light stays on even after charging it for 2 hours but the car runs a short didtance then completely dies. Nothing, no lights, horn etc. Please help! :-)