No there is no make or model named "Tommy Smothers." I just call it that--in the same way I call a D28 with double pickguard a Bob Shane guitar. But this make and model is what Tommy played: a Guild D-55. This one is from back in the day, 1970 to be exact.
I also have two "John Denver" Guild 12-strings from that era, an F-512 and an F-612, the latter of which is 18 inches across the lower bout.