Dan, with fluorescent fixtures, my experience with good bulbs not lighting up has always been because of a bad ballast. Definitely make sure it's not something simple like the bulbs aren't seated correctly, or as 6t7gto mentioned, check for a second switch. If it is the ballast, turn the switch off, remove the ballast, and bring it with you to your local home improvement center to match it up with a new one. I believe ballasts are relatively inexpensive, so if your budget permits, you may want to consider replacing both ballasts at the same time.