Hi Sue,
Welcome. The serial number you listed would be found on a late 1870's Davis low arm vertical feed with a boat shuttle and not close in appearance to a Davis T. I'd double check the serial number on the front slide plate if you don't have the low arm. A picture of your Davis would be fun to see.
Here's a pic of a Davis T:
http://www.sewmuse.co.uk/davis%20sewing%20machine.htm
Here's a pic of a low arm:
http://www.flickr.com/photos/10998784@N05/9626765706/
Jon