Mart, you crack me up!
I think you will find that combinations of this sort were popular in the 50's. You will find Lamp/cigarette lighters, Phone/Clocks, etc. Some items were made in the US and many were made abroad. They are still producing items in China.
I would suggest that you check for any markings. In addition, if you can pop out the face of the clock and take out the insert (some were made so easily to do that) there should be manufacturing info in the clock.