Well I've got a real computer for the next half hour, and since my opponent hasn't posted his line-up yet, I'll do some one on one comparisons.
Bill Cook vs. Andy Bathgate
Offensively: Andy Bathgate, as I mentioned before, was the best offensive player in the world for an extended peroids of time - both his 5 year peak and 10 year peak. I'm some people disagree with me giving Bathgate a slight bonus for playing on a garbage team, but even if you do, that just means Bathgate was basically equal to Gordie Howe and Jean Beliveau over both period of time.
Bill Cook's 10 year peak is a little harder to measure. His prime would consist of his last 3 WHL seasons and his first 7 NHL seasons. In his 7 NHL seasons, Howie Morenz was by far the best offensive player. Bill Cook and Frank Boucher were pretty even in 2nd/3rd. If you consider the 3 years out west, Bill Cook would jump ahead of Boucher, but Morenz maintains his offensive gap.
Bill Cook's 5 year peak, is actually very impressive. He and Howie Morenz are basically equal over that period of time. Of course, you have Frank Boucher close behind in 3rd. Again, Cook benefits from his linemates, so I'd give Morenz a small edge, but it's still very impressive for Cook.
Offensively, Andy Bathgate is better than Bill Cook.
Defensively: Neither guy brings anything defensively to the table. I'm kind of proud that my Bill Cook bio has been recycled for the last few drafts, but also kind of disappointed - I wish somebody would add to it. There's still nothing there about his defensive play.
Neither guy has the edge defensively.
Physically: As much as I've been pleasantly surprised to find a lot of evidence to supprort Bathgate being good fighter and tough compeitior, he doesn't compare to Bill Cook in the physical play department. Bathgate definately is not the wuss people seem to think he is. He didn't like to fight, but he was actually quite good when he was provoked. He was strong on the puck, but he was not much of a bodychecker. That's where Cook gets the edge here - he was a very aggressive hitter, so he adds an element of intimidation.
Physically, Bill Cook is better than Andy Bathgate.
Overall: Bathgate is better offensively, but Cook brings more physical play. For a first line player, I would think offensive ability is more importat, so I'd give Bathgate the edge here.