I recently aquired this pistol from my father which in turn used to be my grandfathers.serial # 6015. It has a broken trigger spring and was wondering where to begin to look for a replacement spring. if anyone can lead me in the right direction i would love to get this pistol back in working condition.It will fire just the trigger won't return.
Nfishaholic, welcome to the forum.
The serial number and unflared barrel (no "bell" diameter widening where the barrel screws into the frame) suggest this is a Model of 1902 that was manufactured around 1902-1903. These guns had a trigger-return mechanism different from the one adopted by the company in 1905 and still used today, so parts may be tough to find.
The 1902 had two flat springs, a mainspring and a trigger return spring. Both are anchored inside the grip frame. There is also a little rocker piece that pivots on a pin to drive the trigger forward when it is released. A problem with any one of these components could result in the problem you describe.
Here's a thread with pics that will show you what is going on inside your revolver: (This one is a .38 Special, but the .32-20 of the same age will look the same inside.)
http://smith-wessonforum.com/s-w-hand-ejectors-1896-1961/134380-inside-1902-a.html
If you are comfortable opening up your revolver but have not done so yet, you might want to take that step just to analyze the situation. If you have not taken the sideplate off, make sure you understand the procedures to follow that will not damage your gun. There are other threads about that on this forum.
There are different sources for parts for these old guns: Jack First Gun in South Dakota, Poppert's Gun Parts in PA, Dave Chicoine (Old West Gunsmith). You can find them quickly with an internet search. Good luck. If you just need a new spring or rocker, you can probably replace that yourself. If the stud on which the rocker is mounted has broken off, that's a little more complicated.