Thanks for the comments guys. It appears that you were all on the right track. I'd never tried opening it before, since I thought it was riveted shut as Eddie was thinking. But it did open right up. It's powered by 2 "C" batteries that luckily never leaked, and the metal is stamped Keystone Electronics, NY. in a couple of places. Whether that means that was the manufacturer of the whole device or just the aluminum housing, I don't know. Jim, that bushing is smooth on the inner wall, so it might be a connector for a controller jack, as Paul M. is thinking. Bob S. might be right as to the purpose of the box. Let me know what you all think, if the pictures of the insides tell you anything.
In the picture #2104, it looks like the circuit boards are made of two different materials, the one on the left appearing more like wood grained compared to the one on the right, for what that's worth. Not sure why, but probably no matter really.