Level showed problem
Thank you Trent, the level showed the problem very quickly. Photo number one shows a level track, this is the section of track just before the problem area. Photo number two shows how out of level the problem area was. Photo number three shows the fundamental problem, the cut separating the two different levels of the train-board inside the track wasn't long enough. Because of this, it was pulling the inner side of the track down. Photo number four show the improvement in level and the longer cut on the inside of the tracks.
I had to remove some track to do the work. When I reinstalled it, I used a number 70 drill for the track pilot holes, something I hadn't done originally. This pilot hole made all the difference installing the track nails, no more bending. I was almost able to push the nail in with my small cutters, after that a slight tap with the hammer and punch and the track was secure.
I ran the problem engine facing both ways, with a full load of freight cars. I varied the speeds from the slowest to maximum and I had no derailments.
With the tracks that far out of level, I can't understand why only one engine had a problem. But from now on, if I want to check a section of track for problems, the GP35 Burlington number 2522 with do the checking!