You're probably right about the laptop model not making a difference. It was just that when I began Googling "sims 2" with "dell inspiron 1501" I suddenly got a lot of results.
Buried further in the Google results, I found this:
http://community.livejournal.com/thesims2/5320873.html
And it worked! Although I'll add another step that I did...
After I downloaded and installed the BIOS update,
I then uninstalled my Synaptics touchpad driver. (Control Panel, Hardware and Sound, Device Manager, Mice and Other Pointing Devices, Synaptics PS/2 Port TouchPad, Driver tab.)
After I uninstalled it, I then went back to the Dell Support page and downloaded and installed the Synpatics Driver from Input Device Manager(s).
So... I don't know if this will work for everyone, but this was the only thing that worked after I had disabled my touchpad, did a custom system restore (I believed at one point that Microsoft's updates did something), and the usual Sims stuff, like patching and custom content issues.