To add to what both Mr. Archer and Mr. Breeden have offered, I have several Quality/Grade No. 3 examples, and have both an 1894 and 1896 example with Damascus (not chain Damascus) barrels.
Serial number 37799 (DOM 1894) is a special order Quality 3 with Damascus barrels as well as a very unique Ruffed Grouse engraved on the right lock plate.
Serial number 41024 (DOM 1896) is another special order (engraved rib) Quality/Grade No.3 with Damascus barrels.
As you state your example is from 1895, it would be classified as a Quality 3, as the name changed from Quality to Number sometime in 1896, and it’s very possible that it has similar Damascus barrels to these 2 examples.
Best,
Stephen