I have a 10 gauge SxS L.C. Smith that unfortunately was not very well maintained. It appears to have Damascus steel barrels and the bores are pretty rough. I suspect that black powder caused a good bit of the corrosion that's evident.
It had been stored in a basement, leaning in a corner for what I was told was 30+ years. It has the typical oil-soaked wrist from being stored with the butt down and oil from the action draining down into the wood.
The action still works and it opens and closes smoothly.
Much of the value of those guns depends upon condition of course and the grade of the gun. I've not done any research on this particular gun but it would appear to be a field grade gun.
If you have a higher grade gun that's in good (not restored) condition, they can have some value. There are collectors of these guns out there who are always looking for good examples.
You may find this site helpful
http://www.lcsmith.org/Thanks,
Clark