Carl Sagan's book, "The Demon Haunted World," is as close to an "atheist bible" as you can get. Well, it is to me, anyway. Here I include the chapter called "On the Distinction Between True and False Visions," which deals with Marian apparitions.
Carl Sagan * True and False Visions 1
Enoch Light * Don't Sleep in the Subway
Inger Nilsson * Keep On… Continue