Possible and probable. Both Ruth and Cobb were prolific and very agreeable signers, and it would not be uncommon for a fan of the era to obtain the signatures of the Hall of Famers at a game or event. Baseballs featuring the genuine autographs of Ruth and Cobb are highly sought by collectors.
Unfortunately, they are also very often forged. Presuming authenticity, other key factors are: the placement and clarity of each signature, the type of ball (is it an "Official American League" ball), and the all-important condition of the ball and signatures. The provenance; the who, what, when and where of a signed ball's history, may also add value if it's documented.
If genuine, your ball would be worth $1500 to as much as $4000, depending on the aforementioned factors.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.