These style stocks were available in hard rubber from 1891 on and introduced in wood in the early Twentieth Century. As with all S&W stock designs, the gold medallion ran from 1910 to 1920 in serial numbers roughly from 110,000 to 275,000. I frame revolvers were slow sellers in the teens and twenties, so serial numbers were shipped way out of order on some guns.
Looking through my notes I find that in 1920, Regulation Police stocks were used on 22/32 HFT, with rebated back strap round butt grip frame. They replaced medallion 2 screw stocks and became standard on 22/32 HFTs. Convex top 2 screw stocks w/o medallions were optional until 1923. Aug. 29, 1923 change order replaced 22/32 HFT square butt Regulation Police convex top stocks, returning to 2 screw target stocks as standard but with convex tops, and w/o medallions. 1930 to WWII, HFT RP extended stocks used with silver medallions.
As far as where they were used, as mentioned above, all 32 HEs could have been ordered with those stocks and Single Shots, 22/32 HFTs, and most all I frame target revolvers came standard with extended stocks. I once had a 38 Perfected DA revolver that shipped with extended walnut target stocks, but without target sights.