You may have to install the software from the cd before you plug in the dvd drive. Catch22. Did it come with an instalation disk.
When you plugged in the dvd writer did windows search for drivers?
If it did, it would be worth downloading the drivers from the manufacturers website to your desktop. Running the exe from there and then plug in the dvd drive.
If you can't find the drivers, post the model of the lite drive here. Someone might point you in the right direction.
When you have the drive connected, is there any yellow warning marks in device manager.