I know something very odd about the show. As I recall, it was followed by "The Drowsy Chaperone" at the Mariott Marquis. "The Woman In White" closing was not expected but suddenly the theater was available, and the Drowsy cast was ready, and in it went.
I saw Drowsy many times and became friendly with some of the ushers and bartenders. One of the bartenders told me that a Catholic priest came to every single performance of "The Woman In White," always sat in the same seat, always wearing his clerical collar. Said he was always alone, always dressed in his clerical clothes, never spoke to anyone but was clearly enraptured by the show.
I never saw it, so I have no idea of the plot, and why it would entrance a priest, but that's what I was told.