Welcome, LenaDale.
How fun. I found at least two patents for that date associated with Eldredge - 353588 and 353542. Actually There was an Eldredge Sewing Machine Manufacturing Company in Chicago Illinois and later in Belvidere, Illinois. They later consolidated with June Manufacturing Company to form The National Sewing Machine Company. of which Barnabas Eldredge was president. It has some similarities to some of the National machines, but I couldn't find one with that shape base, except for an Eldredge A. However, the Eldredge A is a transverse shuttle. There was a Eldredge B which was a VS machine and also an Improved Eldredge B. I can not find a picture of the "original" Eldredge B. The Improved B has a different base than yours and also a different stitch length regulator.
The bobbin winder looks like the Goodrich (and maybe others?). Goodrich is also associated with Chicago. I found
http://needlebar.org/cm/thumbnails.php?album=260 and
http://needlebar.org/cm/displayimage..._display_media (Not affiliated with links ).
Janey - Neat people never make the exciting discoveries I do.