Chuck, from reading in the book of Brophy's, the Fulton has a half pistol grip, and a stock of well finished walnut (doesn't mention checkering). The Fulton Special had engraving and it mentions checkering.
The Hunter Special, full pistol grip, nicely checkered, boring as required and made in one standard dimension, also the rotary bolt, the same one that A.H. Fox and Stevens copied and used in their guns.
As far as identifying the two,I couldn't tell you. Go to the L.C. Smith Collectors Association http://www.lcsmith.org and I'm sure that someone will help you to identify the two.


David