I guess the top comes off on your Kenmore model, they usually do. Under there are points that need oiling. If it does there are visible joints in the parts and there is a screw or two involved; some models are hinged in the back and you just push it up in front. These old machines were meant to be cleaned and oiled by the user.
If it's a freearm model, the top of the freearm usually comes off too, the same for the face plate; these are parts needs regular cleaning and oiling. On flat beds you usually unscrew the needle plate and get to parts from under.
The bobbin winder usually runs on the back of the hand wheel, and parts can need cleanign and oiling. You might need to take of the hand wheel, some times it's easy to get to the parts when the top is off.
Last edited by Mickey2; 10-11-2016 at 02:18 PM.