Soddy-Daisy is a town about 20 minutes north of Chattanooga. While guns from this area share a lot of traits with E. TN rifles they have some pretty distinctive characteristics. Upper E. TN guns tend to have long tangs that change widths a couple of times. Wide at the breech and then thin down the wrist till they get to the screw boss. They may go up and over the comb from there. Soddy guns have a long straight strap that terminates at the comb. Most of the time they will have 3 screws.
Soddy guns also have diamond shape to the butt rather than a rounded shape. The buttplates have a comb that extends much further down stock than upper E. TN. The check piece is very recognizable and different from the typical rectangular shape. Look at the one pictured and then any other gun. Some don't have a check piece at all. There are other smaller differences but those are the big ones.
There is an exceptional example of a Soddy rifle in the library. It is listed as Soddy Daisy. I hope that helps some.
This image (compliments of TimM of this board) shows really well the diamond shape to the buttstock and how that shape creates the distinct cheek piece. The butt plate comb comes down on the sides of the stock more than normal.
Different Soddy rifle showing the Diamond shape