Probably some wedding gift that keeps being regifted around town. If it shows up in different centuries, well, same explanation. Funny if the same Christmas fruitcake kept showing up in every generation, since no one ever eats those, and they probably stay preserved pretty well. Just guessing.
I really like the idea of the Hands personally autographed by Tate with a seal verifying that they're fresh from the cemetery, each with its own carrying case (Petofi box). In that case they wouldn't be fake real Petofi hands, but fake fake Petofi Hands. If it weren't for the eye thing, I'd get started on that. Certain legal hurdles I suppose. Anyone can make an afghan without violating copyrights.