Look in Device Manager under DVD/CD-ROM Drives. It will list the name of the drive there.
It would help to know the firmware version as well though, so you might install ImgBurn, which is a free burning program, found here: www.imgburn.com
Start up ImgBurn, then click on Discovery. This will show the name of the drive and have the firmware revision listed next to it. For example, I have a Samsung SH-S203B drive, and on the right side of the Discovery window, I see that drive name and SB04 also…SB04 being the firmware installed in my drive.