Looks like it is Real Bull that makes the King lathe (please note this is still speculation!)
Here's a link to their mini-lathe page: YANGZHOU REAL BULL MACHINERY CO., LTD.
Note the machining of the tailstock base-plate, and the acorn nut on the tailstock, both of which are the same as the King machine. The one on their website does not seem to have oil ports, but I'm sure that's just something that King would have requested...