Jennr8r,
First and foremost ditch that so called repair facility, they don't know diddly squat. Motors are very easy to come by for that machine.
It is what is commonly called an HA-1 / 15 Clone. A close but not exact copy of the Singer 15-90 machines.
By the looks it, it is a 3/4 sized machine.
If you want to part with it, PM me and I'll give it a new home. We can discuss details off forum.
If you'd rather not do that the existing motor can most likely be saved if you want to. If not then Sew-Classic has replacement motors for a reasonable cost.
With some cleaning and oiling and perhaps some motor work that little machine will purr for you.
Joe