Overheating on left hand corner.
After 10 plus minutes left hand corner of machine gets hot. Eventually almost too hot to hold. Fan appears to be going.
Left hand front or rear?
Are the fan vents clogged?
Does the laptop shut down of its' own accord?
Here is a link to the service manual for the laptop.
It will help in the dis-assembly of the laptop so that you can check that the fan is OK and not clogged etc. and also to ascertain where the heat is coming from.