Copyright laws usually are for the life of the author place 70 years. It is a special case for Peter Pan because the author gave the rights to a hospital and England passed a special law that allows the hospital to get royalties forever. Disney does not own the rights to any of the fairytales though most are in public domain because it has been 70 years since the death of the author. Disney does continue to own the rights to their footage or their names like the names of the dwarfs are Disney property. It is complicated though.
This doesn’t mean that they can never use Peter Pan. They just have to work something out with the copyright owner, the hospital.
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