Sounds like you have the same TimeWindow 1A speakers that I have, or possibly something predating them. Being a complete pack-rat I still have the original "Owner's Instructions" and DCM's product literature advertising this line.
The product info on my speakers is located on the input panel and identifies them as TimeWindow 1A, made in Ann Arbor, MI.
The instructions don't describe much on placement, only that "since the Time Window 1A has a wide angle sound distribution you have unusual flexibility of positioning while still producing excellent sound." Their only suggestion is that you try turning them toward your listening position, and that you be careful watering plants placed on top of the speakers.
The only repair I've had to make was re-attaching one wood top that broke loose during a move. I'd use an epoxy to reattach the loose speaker, mainly for bond strength. I'd be nervous that screws might break up the particle board face; it's a dense material, but brittle.