First of all, it should be recognized the woman in the vision is an element from the original Greek myth that the author is adapting here. This is the myth of the dragon Python which was sent to chase and destroy the pregnant Leto and her unborn children. Poseidon helped her find sanctuary in Delos, where her twin children Apollo and Artemis were born. Then later Apollo fought the dragon and killed it at Delphi (where Apollo's oracle was established). This would not be the only allusion to this myth in the NT; it also lies behind the reference to a Delphi priestess in Acts. In its adaptation in Revelation, Apollo = the Messiah child and Python = Satan the Devil. Because it is the woman who gives birth to the Messiah figure, she was identified with Mary of Nazareth by some early exegetes. It is noteworthy that the conflict between the dragon and the woman and her seed in 12:13, 17 evokes Genesis 3:15, and Mary was sometimes interpreted as the "New Eve". From a Jewish perspective, however, the woman would represent Israel (cf. the allusion to Genesis 37:9 in 12:1, and the parallel in Testament of Naphtali 5:4, and also Israel as a pregnant mother in Micah 4:9-10, Isaiah 66:7), or the Church in the Christian view (cf. Hippolytus, Methodius, and the figure of the aged women in Hermas as representing the ancient Church). The Society's interpretation seems to be dependent on the older Christian view that the woman represents the Church. I think the importance of the woman lies in her contrast to the "woman" in ch. 17-18, Babylon the Great. The latter is based on Roman mythology as well, picturing the patron goddess of Rome as a gaudy harlot. The goddess Roma, in addition to being represented as seated on the seven hills of Rome, was represented as the she-wolf that fed Remus and Romulus, the founders of Rome (i.e. as their mother). In Revelation, the Devil uses the leadership of Rome (i.e. the Beast) to establish his own authority on the earth, while Christ's authority is established through his Church which the Devil tries to destroy (cf. 12:17). The goddess Roma is then seen as an unholy imitation of the true "mother" of the persecuted people of God.