Hi,
There is no such thing as an English heavy dragoon pistol. The pistol you are thinking of was called the pattern 1738 or pattern 1756 land service pistol. The British had no "heavy dragoons". They had "dragoon guards" and "light dragoons". The dragoon guards were previously known as cavalry or horse. Here is a photo showing a pretty good commercial reproduction done for Colonial Williamsburg. The upper pistol is the land service arm.

I plan to rework the repro to make it more authentic. It needs to lose some wood especially the pregnant fore stock. Pistols are a bit more of a challenge holding in vises compared with long arms. A pattern makers vise is helpful. Flat chisels and gouges are a must. You will want a large gouge just a little smaller than the minimum diameter of the barrel. You will want some small flat chisels 1/8" and smaller to stab in the edges of the mortises. Half round rasps are very valuable for shaping the handle. You will need drills as well as taps and dies for 6-40, 8-32, and possibly 10-32 threads. Although you can use 6-32, I prefer more threads per inch on a screw that small in diameter. You will need round, half round, and flat files in coarse and fine cut. You will need a hand saw. I prefer the Japanese saws that cut on the pull stroke. You need a hacksaw, ball peen hammer, mallet, screw drivers, and soldering equipment. A propane torch to solder and anneal metals is required. You will need a 5/16" diameter drill 18" long to drill the ramrod hole. There is more but that is a start.
dave