If the serial number is at the base of the pillar, it's very likely you have misread it. Older machines have the serial number in a different location.
A picture would be very helpful. If it is indeed a 1873 machine, it's likely a Singer 12. It wouldn't be a "high arm" machine.
If you can't post a picture - which of these does your machine most closely resemble?
Singer 12 from 1868
Singer 115 and 15, early 1900's
Singer IF (early 15) from late 1800's (note fiddle base shape of base)
Singer 27, pre 1900 (fiddle base)
