Ok, when charging laptop battery, power off laptop, check to see if the laptop Charger is still getting hot what could be happening when you use the laptop at the sometime the battery is charging the laptop adapter have to use a bit more power causing it to become hot what the model number of the adopter?
did you patch it up ?
If it is the original adapter that is rated for your laptop I would not be concerned that the charger brick gets a bit hot. However, I would go to the Toshiba website and check to make sure there is no recall on your model charger just in case.