Idig,
What you describe is symptomatic of a severe push-off, not a separate problem. It has nothing to do with the springs, and anyone who suggests it does has little knowledge of the mechanics of a S&W revolver.
The fix can be anything from re-stoning the trigger hook to replacement of the hammer and trigger. If the latter, the cost will likely be over $100 parts & labor. If you don't have an idea how to remove the sideplate this isn't something you want to attempt without help.
The first place to start is obtain a copy of "Smith & Wesson Revolvers, a Shop Manual" by Jerry Kuhnhausen. You can get this from Midway, Brownell's, and many other sources. It will cost somewhere between $20-30 depending on the source. My last came from a bookseller in Idaho I found by googling the title or Kuhnhausen, and it was less than any of the above sources by several dollars.
The Kuhnhausen book will show you how to disassemble the gun, what has to be done and how and what tools/stones are needed. The stones and tools can all be obtained from Brownell's. All these items will be good investments.
Spotteddog had a good suggestion. Just remember, this the internet and many postings you find here will have been made by people who have no idea what they are talking about, but that doesn't stop them from posting! Stay here long enough and you will understand, and know which regular, and prolific, posters I refer to.