|It says "solved" but there's no explanation?|
Before you formatted the HDD, you should have checked Device Manager to get the make/model of the network adapters. That would have made finding the correct driver(s) much easier. Gateway doesn't list any XP drivers because they never intended XP to be run on the system. And what you did with the Alienware disc is technically illegal so we really don't have to answer your questions.
The link you posted in response #2 has a link to "Download Hardware Vendor Detection Utility". If you're still in need of the XP drivers, download the Detection Utility to a thumbdrive, then install it on the laptop. Run it & hopefully it will identify the network adapters, then you can search for the drivers.