nubbin:
When we work with nothing but a description, and an incomplete one at that, one has to be very careful. In your case you stated that your revolver had a last patent date stamped on the barrel that ended in "03."
When the serial number you posted was checked against the records, and then against the correct patent dates, it was discovered that on what this particular revolver was supposed to be there was no patent date ending in "03."
I could conclude that (1) you had made a mistake in reading the patent dates, or (2) the revolver was one of many fake copies of S&W revolvers made in Europe - most likely Spain. With no way to reach a positive conclusion I posted a warning.
Subsequently you posted a picture, and at this point it appears that the revolver is a genuine Smith & Wesson, and because of certain style points I believe the pearl stocks are original to the gun. But the only way to confrm this would be a letter from S&W after they checked their records. If you CAREFULLY remove the stocks you may find the gun's serial number marked on the underside of one or both grips. Factory stocks were individually fitted to each individual frame, and numbered to that the frame. then they would be matched back together later during the manufacturing process.
It is not impossible that a Navy officer purchased a peral-handled revolver, but I think it isn't likely. The Navy did over the years, buy S&W .38 revolvers, but not with pearl stocks, and Navy markings were stamped on the butt and other places.