The problem is not the DRIVER (that is just the software that helps Windows to use the graphics card).
The problem is the graphics card itself (the HARDWARE).
All games need a graphics card (HARDWARE) of a certain power, and it seem the graphics card in your laptop has enough power, but the one in our Dell does not.
The graphics detail you listed (82915g etc) came out in 2005 and that is pretty old in graphics cards terms.
Most "basic" computers only have powerful enough graphics to run office type software and the most simplest of games. To run more demanding games you need to buy a new graphics card.
While you may be able to buy a graphics card for your XP box it may not be worth it. I wont bore you with the technical details but buying a card for an older PC box like that may not be cheap and for a computer that old it is just not worth it.