For the general situation, I agree with the split & burn crew. I'll usually split one piece into quarters, the shave large splinters off the inside (dry) corners for kindling. It's a matter of pride to be able to start a fire with a minimal number of matches & no other aids. Finding some dry leaves under the wet ones helps, too. Lighting them may be enough to dry out some wet twigs, then you feed in progressively larger pieces of damp wood.
But I also carry a small bag of short votive candles for situations where speed is more important than pride... ;)
Jim, "How come one careless match can start a forest fire, but it takes a whole box of matches to get any action out of my hibachi?"