Name73393, Harrington & Richardson was originally a maker of small defensive revolvers, starting in the 1870's. They also made pistols for casual target shooting ("plinking") and in the Great Depression of the 1930's, that part of their sales became more important than the self-defense guns. H&R did more to pursue this shift than their competitors and after World War 2 this paid off very well. The market for cheap defensive pistols was flooded with war-surplus or GI bring-back military pistols, but this was not the case for 22 target pistols. H&R finally had enough money to put a solid-frame, swing-out cylinder revolver into production, and this did very well for them, because that type of revolver was seen as sign of superior quality, like a Colt or a Smith & Wesson. Your gun is a direct descendant of that circa-1950 design, although many changes were made along the way.
H&R thought of it mainly as a 22 caliber gun, for either 22 Long Rifle or 22 Rimfire Magnum. The only other caliber they ever offered it in was 32 S&W Long. This was more powerful (although only moderately so), and allowed H&R to pitch the gun as useful for self-defense. Although this was now a smaller part of the market, it was still useful to do so. Your gun is one of those.
(BTW, by the 1980's, the situation had reversed. "Plinking" was declining, because it was harder to find a place to do it, if nothing else, and demand for self-defense guns was rising. H&R's 32 Long guns were too low-powered to benefit much from this. So H&R funded the development of a new cartridge called 32 H&R Magnum. It was about as powerful as standard 38 Special loads, although not the high velocity "+P" loads, IIRC. They also introduced a strengthened 5-shot version of your gun to fire it, one type of which is shown in Walkalong's post. This did not prove popular enough to save H&R, and they went bankrupt in the 1990's.)
The finish on your gun is called "electroless nickel", which means it is chemically applied, rather than being bright, shiny, electroplated nickel. It is a very good finish, physically tough and with good rust resistance. Also, yours has a 4 inch barrel, a large grip, and a rear sight that can be adjusted left or right. H&R also made a small-grip, 2-inch barrel, fixed sight version and those sold in larger numbers. Maybe this was because the smaller guns were cheaper, or because they were easier to conceal if people wanted to carry them. I like your type better because it is much easier to shoot well.
32 S&W Long has not been a really popular cartridge for many years, but it has a dedicated following because it is very pleasant to shoot, very inexpensive to reload, and has an excellent reputation for accuracy. Also, there is more interest in collecting H&R revolvers than there used to be because so many other guns have become very expensive to collect. What these two factors mean is that at a local gun store or gun show, it is difficult to sell this kind of H&R for very much money (or even at all), but if you can tap into the national market via one of the Internet gun auction websites, the extra money can be worth the extra effort (or service charge). Guns like this, if they are in decent shape and not badly overpriced rarely go unsold. I used to look for them. (I have since gotten a very early version of your gun, but in blued steel, and have stopped looking. Before I found it, yours was the model I was looking for.)
PS - Your gun is ordinary steel, not stainless. Although the electroless nickel finish looks like stainless steel, H&R never made stainless steel revolvers.