I don't seem to struggle too much with this match-up, probably because Ness is my secondary, and I know how to exploit Ness.
One thing I like to do though, is use PT1 on someone a good distance in the air. I spin it in a circle to try and catch their air-dodges.
One other thing. Watch out for when Ness uses PK Flash when you're trying to recover back to the stage. They'll use it to cover the ledge and let it loose right before you get back. The hit-box for PK Flash is actually quite large, large enough that they can wait out your air-dodge and still hit you. Also, at this point, it is at the stronger half of its charge, and is a devastating kill move. I do this all the time on For Glory 1-on-1, and 7-8 times out of 10 it hits.
Of course, it could just be that it has only worked on people who are at a low-level of play.
Can we do Duck Hunt? I struggle against Duck Hunt a lot, not just with Falcon, but in general...
Also, is this thread usually this slow/quiet? There's whole days between everybody's responses...