Notebook battery don't charge while Win7 and BatteryBar say it does.

Hello 4thgo. Welcome to the Forum.

Please clarify:
The battery charges, but Windows & BB says it doesn't.
The battery does not charge, but Windows & BB says it does.

Is this the original battery and original power supply (charger)?

Most likely the battery is ready to be replaced.
All rechargable batteries have a limited lifespan measured in recharge cycles. Once you reach the limit, which is somewhat different for every battery, then they start to fail. It does not need to be a spectacular failure. Sometimes they just get annoying.

The battery has a chip in it that reports it's condition to the system that can be read by the software. But these are not immune from failure also. It is pretty common that the chip reports false info as the battery gets older.

You just need to respond to the real world observation: the battery does not charge or does not hold a charge. This could be due to a bad battery, a bad charger, or both. I've always believed you should replace both when you need to replace either. But you could replace the battery first to see if that solves it.

There is a small possibility that the switching circuitry inside the laptop is to blame. But that is a rare condition and difficult to fix, so I would start with a replacement battery.