It is definitely from one of the Cracker Jack Game in DC. I have a ball from one of those games as well, but with the logos in red print ink.
I cannot recall any preprinted stuff from those games and think it is real. Unfortunately the balls were not the good leather of the pro Rawlings balls and my signatures have almost faded away. I don't have a photo of mine as of now, but have a few things from the games. I attended the games as a member of the press.
Sandy Koufax Pants from the game he played in.
He gave them to me himself, and signed them, in the locker room. I asked for his jersey, but he had already given it to someone else.
Programs from each of the 3 games with sigs I got at the time.
Unfortunately, I think the sentimental value is probably worth more than what could be gotten on the open market. I would guesstimate a couple hundred dollars at best. I have found that multi signed balls outside of team balls or special theme balls, like 3000 hits, etc don't sell for as much as people expect. Unfortunately, no one on the balls is so rare that it makes it super special. IMO, most people who want Joe D on a ball would prefer a single signed version.
Best,
Mark