Unless the GeForce 6100 Go can handle the OpenGL (1) plug-in, I'd say forget it on ePSXe. There is Direct3D, but it's outdated and inaccurate (especially in the Final Fantasy games). I shouldn't say it's not an option though. The other alternative is P.E.Op.S software driver, which would work, if it weren't for the fact that Windows Vista/Windows 7 break the way it displays things, so it always looks pixelated beyond use.
Here's my order of preference.
1. Try Pete's OpenGL (make sure it's 1.x version, not 2.x). Faling that...
2. Try the emulator titled pSX. It will pretty much give you what ePSXe set up with P.E.Op.S would have had it not had the issues with Windows Vista/Windows 7.
3. Try the Direct3D plug-in. You may like it better like software rendering either way, but beware that it's dated and inaccurate. Still, while OpenGL is everything it is and more, if you can't run OpenGL but really want to, this is the next best substitute.