The esteemed writer Don Yaeger wrote a book called Turning of the Tide: How one Game Changed the South. Here is what Amazon says about it:

“New York Times bestselling author Don Yaeger tells the electrifying story of the game that broke down the last racial division in college football.The first integrated football game in Alabama was played on Crimson soil in September 1970, and the two teams that met represented two distinct faces of college football: legendary Alabama coach Bear Bryant’s Tide was the all-white national powerhouse in the SEC; and the USC Trojans, coached by John McKay, featured an all-black starting backfield that reflected the social changes that were sweeping the nation. Bestselling author Don Yaeger, teamed with USC fullback Sam Cunningham and defensive captain John Papadakis, tells for the first time the complete story of what transpired during this historic game.”

Also, I said that Bryant allegedly asked Cunningham to come into the locker room. So, I know its a myth.

I did do so research and have decided that you need to pick up a copy of the book.