Chances are, it isn’t. The early Catholic Church did a lot of this kind of thing, where they would claim to have a piece of the cross, or a bone of St Peter in a church. It was just to drive tourism into their churches. If you took all the claimed pieces of the cross and assembled them, it would make far more than one cross.
I bet it isn’t really Magdalene.
Chances are, it isn’t. The early Catholic Church did a lot of this kind of thing, where they would claim to have a piece of the cross, or a bone of St Peter in a church. It was just to drive tourism into their churches. If you took all the claimed pieces of the cross and assembled them, it would make far more than one cross.