I had this same problem when one of my hard drives died in my old Dell Inspiron B120. You can actually use the driver from the Dell website, but it's got a weird glitch in it where it will tell you that it isn't able to find any compatible hardware and will exit. BUT, it is wrong.
The correct driver is included in the self-extracting file named R94827_ZPE.exe. It has a really long name and is listed under the Network tab. It starts with "Dell Wireless 1350 WLAN..." and covers the Wireless 1370 WLAN card.
Run the self-extracting file, it will create a folder under "C:\dell\drivers\4X7C1\", extract, attempt to run and fail. Then, pull up your device manager, go to Other Devices, Network Controller, Reinstall driver, and make sure to tell it to look in the "4X7C1" folder.