The tool rest (missing) was mounted to the stamped metal wheel guard. In regards to it maybe being a Kingston-Conley, it could be but it would have been one of there most recent versions and not the same quality level as there earlier ones. Also, that base doesn't have the tool rest mounting detail that is on the earlier Kingston-Conley's.
I suggest removing the wheel guard and mounting a 6" 3M Radial Bristle Brush wheel to it, and a wire wheel or buffing wheel. You say it has a whine to it, if its the bearings, then that's an easy fix, just replace them. It's probably a good solid user.