WOWZERs, that machine is beautiful! Great save. It doesn't even look like it would need much cleaning but may need to check to see if there is dried oil on the parts just behind the faceplate.
Maybe that you are lucky and just needs a good oiling and working it in to all the nooks and crannies.
Any local electrical shop should be able to check the wires. It doesn't look like the machine was used much so the wires may have not gotten warm from use and therefore are not brittle. But if your daughter is going to use it I would change them. It is not that hard you can do it!