You are right about the Model being a 3rd, but I believe the gun was shipped in 1894. Those push button Safeties are hard to distinguish unless you have an example to compare the size of the latch. The 3rd Model, however was manufactured from 1890 to 1898. All the revolvers made before serial number 119,900.
Forgot to add that 92,2XX shipped in 1894 and the first listed 1897 was 104,4XX. Not to say that the all shipped in serial number order, but the 38 Safety was a popular revolver and seem to be in pretty close order until the early 1900s, when the solid frame S&Ws became popular and the top breaks lost favor.