It's a very nice model 66. I like the simpler decals yours has a lot, they are still in good condition. It should shine up very well. I would find a nicer lamp for it, something like this one. The one that's on now is a later addition, and the narrow type bakelite or shiny metal version with Singer logo was most common on the 66. The table is very nice too, it's a stable type, with furniture felt under the feet it makes it all run with out much noise. The black shellac finish and chromed parts are a bit dirty and needs a good cleaning, but looking at the internals under the base they are in nice clean condition. It should clean up perfectly. Since the plug and wire is the, I guess there is a knee controller in the table. It was very common with this type of cabinet, but it should't be too difficult to fit with a pedal since plugs and everything is there. The kneelever is nothing to worry about, they work very well.

Is the tension assembly on the right front or on the nose of the machine on the left, on the faceplate? The model 15 is on the faceplate. If it is on the right side, it could be a 66, 99, or 201. A round bobbin or shuttle? We would presume round, for a more modern machine. A 66 is heavy and big. A 99 is 3/4 size of the 66. A 201 is a machine with a tubular grease fitting on the top, right of the column and tension on the right side. Try looking on ISMACS to see the pictures, or even better, try Ebay. You will find it there for sure. After you get the serial number, you can look it up on ISMACS or singerco.com.