Skeeter, this is one of those "I have a Ford car. It's blue, and has a V-8. What's it worth?"
You are SURE this is an L.C. Smith? I ask because the drawn bow logo was a trademark for the Antonio Zoli Co, who also made shotguns. However, it COULD just be wearing a replacement buttplate.
The LC Smith's have a substantial collector following, and value depends on EXACT model and EXACT condition. To get an accurate answer, you are going to need a hands on assessment- but I'll gladly send you a crisp new $100 bill for it- just because I am a nice guy.
These were actually produced by several different companies at different times as the name was traded, bought and sold. According to my limited reference materials, from 1890 to 1945, they were made by Hunter Arms of Fulton NY. If you remove the barrels, and look at the water table (flat part of the frame covered when the barrels are in place) the grade of the gun should be marked there.
You can also get a letter on production date of your gun from the L C Smith Collector's Assoc for $60. And here is some more info on the history and grades: The L.C. Smith Collectors Association
And our course, we have to say- WE NEED PICHERS ! WHERE DA PICHERS?