I am responding or actually have about the same question you do about your Off Duty .38 Special. My daddy purchased my pistol for me from a pawn shop approximately twenty-five years ago and it looks just like yours. The only difference is that mine was made in Bridgeport, Conn. I really wasn't expecting it to be of great value, however, I have been trying to find out what year it was made and I haven't had much success.
If anyone can give me a website that I can go to using the serial number to pull the year it may have been manufactured that would be great. I am not interested at all in selling it, I just want to know approximately when it was made.
My daddy purchased the pistol for me the day after a man attempted to rape me and I told him that I wanted a gun big enough to blow a hole in the man if he ever got near me again. Sweet Sally, as I call her, is what my daddy brought home to me. Luckily, I have never had to use her in that manner.
Your help or anyone elses would be greatly appreciated. May God bless those who read this post.