It wasn't that long ago that I compiled his career stats in the first place...
Bain deserves to be mentioned in the discussion, particularly if you're looking at a pre-1900 team. He'd make that squad in a second. He may have played only 27 senior games, but the Winnipeg senior series at the time didn't play more than five matches per year, and amateur athletes often retired from competition before their thirtieth birthday, as he did.
I also think you do need to do several teams; "pre-1926" is too broad and covers changing times in the game. I'd take a stab at some teams but it's not something I'd do off the top of my head; too easy to omit someone. I'd probably find a way to put Billy Breen on a team somewhere.
And Hobey Baker wouldn't even be in the arena.
