Tammi, It's not a Singer. When people refer to old machines as Singers they just say that because they are black. Happens all the time.
There's no point in trying to relate the serial number to Singer numbers. The machine is a Vibrating Shuttle. They were not produced by Singer until the mid 1880s.
I have gone through all the photos on Needlebar of other European machines and found no match. I still say it's German - I would be surprised to learn it was anything else.