Gene,
On the underside of your sliding breechblock you will see two little pieces of metal that appear to have a pin running though them. They line up with the triggers from the bottom. They are what acts as a sear in a Darne R model.
Wipe any loose crud off with a cloth with either WD-40 or Breakfree on it. Then, lay the breechblock upside down on a clean rag and put a few drops of Breakfree on those little metal pieces, using your finger to move the lube from front to back, and forcing it around the sear. Don't get nuts, two or three drops of Breakfree is about right. Let the breechblock sit upside down on the rag overnight, flip it over the next day, and let it sit for an hour or two more, and then wipe any excess lube off.
Nobody will ever brag about their R Darne trigger pulls, but, a little lube will help.
Best,
Ted