Dave the S&W model 44DA in 44 Russian model No3 Russian 1st model was manufactured between 1871 and 1874, they were serial numbered 1 to 20000 with 8" barrell standard with 6" and 7" also produced.There is a confusion on serial numbers as they were made in differrent batches, but here is the break down of Model 3 production:
First Transitional,Second American, First model commercial Russian guns 32,800 guns
Russian contract guns 131,138 guns
Second Model,Commercial Russian, Turkish Model, Japanese Model guns is 6,200 guns
You really need to send for a Factory Letter from S&W historian Roy Jinks. Go to S&W webpage and all contact info and proper way about getting your letter is there, I think it is $50 or $60 US per letter and well worth the investment as if your gun is still in original configuration it is worth from $500 to $12000 depending on condition and specific model. If you want more accurate info, PM me here and I will get all pertanent info on your gun, take care Dale in T-Bay