Try looking at it under a black light. You would be surprised the details that will come out. Knowing the approximate years and the League will help tremendously to narrow it down as well (you're only talking 6 teams in the league for each season, so at most, 12 rosters to look at). If you can make a good guess on one or two, I bet you could pin it down exactly.
Don't know anything about the ball itself, but it is interesting. I once had a DeBeer Anchor Brand ball with red/white laces like that that I knew was early, but nothing to definitively date it.