I wonder when the first outstanding players from California showed up in MLB. There were the Dimaggios and Ted Williams, but who came before that, in the days when the furthest west team was in St. Louis ...which was until about 1953, I believe.
I actually don't think the very early players like Ty Cobb and Honus Wagner merit consideration for the top three (or even top six). In a deadball era, they weren't required to show much power, and with crappy gloves and uncertain field surfaces, I'd question how brilliant their fielding was. And of course they had no Black or Hispanic opponents.
Some legends die hard. "Tinker to Evers to Chance" is a nice poem, but Chance is the only one of the three who should even be in the Hall of Fame (and mainly for his managing). The other two were barely mediocre.
The Second World War messes up career stats a bit, and if not for years spent away, people like Warren Spahn, Bob Feller, and Hank Greenberg would be getting more consideration and Ted Williams would be a lock for the top three ...which he might be anyway.
It's possible that the best choices were all people who played in fairly recent past ... Barry Bonds, A-Rod, Griffey Jr., and Pedro Martinez. If not for steroids, the first two might be easy picks.
Have we finally put the Nolan Ryan nonsense to bed? Yeah, he struck out a lot guys. He also walked batallions full of guys, and isn't he second on the all-time list for losses behind just Cy Young, who had hundreds more starts?