For names, use the best judgment and set them as the primary name that they'd use on the indy circuit. For instance Jay Reso should be Christian Cage with a WWE exclusive alter ego of "Christian." A guy like Edge, I'd use Adam Copeland, because there's no way he'd be able to use Edge anywhere else.
Also, for Bios - I've always liked the concise, almost generic ones like the organic bios in game.
For Example:
Shelton Benjamin
"Shelton Benjamin is an American professional wrestler, born July 9, 1975. He is best known for his tenure in WWE, as well as his work in ROH, NJPW and NOAH. He has also competed under the ring name "Shelton X Benjamin." In WWE, Benjamin has held the WWE Intercontinental, United States and Tag Team titles. He is perhaps best known for his longtime partnership with Charlie Haas, a championship calibre tandem that has been billed as "The World's Greatest Tag Team" and "Wrestling's Greatest Tag Team" across various promotions. Prior to entering the professional wrestling industry, he was a two-sport athlete in college; having won an NJCAA championship in both track and field and collegiate wrestling."