Hi Wayne;
I think these clocks were generally found with one of two marques (if they still have a marque), as shown in photos below. The "Time to play" one seems to be more common.
Which one is correct for your clock is hard to say; there were at least 6 companies that assembled these clocks.
Loheide seems to be the most common, but they are often misidentified since some models looked identical.
Don't know if any maker stuck with one style marque; they probably varied over time.
Bueschel's Counter Games book identifies one that looks like your model as a Loheide and it has the "No Blanks" marque on it.
I think your clock was identified as a William White model.
There is also one that looks identical to yours on eBay (US) that still has part of a Progressive Manufacturing sticker on it.
Both marques shown below appear to be accurate reproductions.
The "Time to Play" one is currently on eBay (US) for $13US without the frame.
One photo shows a metal attaching bracket, but I believe the frames were also often attached with wood brackets as reproduced below.