I can only think of a couple of reasons a Marlin 39A wouldn't fire. Since trigger work was done, the most obvious is that the trigger pull is too light and the hammer is being stopped by the half cock notch. If this is the case, you may need a new hammer and/or trigger; the bill for both parts would be around $30. It is also possible that he weakened the hammer spring (mainspring) to reduce the trigger pull. You should be able to check both possibilities quite easily.
Another possibility is a missing or broken firing pin. You should be able to see if the firing pin is in place in the back of the bolt. If it is, you can easily check to see if it broken, since the 39 is one of the easiest guns to disassemble to that extent. Just unscrew the big knurled screw on the right side and the receiver splits apart. Just make sure you don't lose the ejector which sits in the left receiver wall.
Jim