I have improved triggers on a bunch of black powder replica guns and the quality range is all over the park. Sometimes two guns of the same model look quite different on the inside.
I don't know the proper term, but the point on the trigger that fits the notch in the hammer making up the sear is frequently quite broad, and sometimes even hook shaped. I polish that part while keeping what seems to be the appropriate angle. I also try to make the engagement the entire width of the mating parts. I frequently re-assemble to gage my progress. And KSR is right: you will have to re-harden the part when done. I case harden the part after stoning it using one of the case hardening products and a torch.
This is a job that requires lots of patience. Many kitchen table smiths give up because of how slow you need to work, and how often you need to assemble the gun, check the trigger, take it appart and stone a little more. When I get frustrated I put it away and come back later.
Good luck