All these typologies, — primarily, of the Catholic Church or even, at a great stretch, of Israel (protestant favorite), are indeed part of the Chapter 12 meaning, but that does not negate the fact that the “woman” is described as physiological mother of Christ, and He only has one of these.
Because of the obvious symbolisms used throughout, the identity of the woman is clearly open.
The other things done by the woman indicate that it is not Mary.