As to having some engraving, a guess would be a Quality E maybe a D but without pictures hard to tell. If you could send some pictures to me I might be able to help you more.
The serial numbers for the bar action lock started at 10000 in 1884 so it could have been made in 1885. No one knows if the serial numbers are sequential.
There are no records but I keep records of the Syracuse Hammer and Hammerless guns made by L.C. Smith Gun Company of Syracuse, N.Y.