You're right, it is Hans Brinker OR the Silver Skates.

Prescriptivists of the world,unite!

I too learned it as "Hans Brinker AND the Silver Skates."

If you google you find all varieties!
HB and the SS
HB or the SS
HB, or the SS
HB/SS

barnesandnoble.com sells books by same author, both titles (and/or), take your pick.

Now I don't know whom to believe any more! I think I'll stick with what I know I know is so.