The Woman is Not Mary.

Gen 3:15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.

Catholics ( and other religious groups) hold that the Woman in that verse refers to Mary and so is the Woman mentioned in Revelation 12.

But the truth in the Scripture reveals that Woman there refers to the Church of God or Jerusalem which is Above and Christians are the Seed.

If we read Revelation 12. It speaks of a Woman, but it is easy to see that it is not Mary.

Read:
Rev 12:13 And when the dragon saw that he was cast unto the earth, he persecuted the woman which brought forth the man child.

Rev 12:17 And the dragon was wroth with the woman, and went to make war with the remnant of her seed, which keep the commandments of God, and have the testimony of Jesus Christ.

The following verses, the highlight of which is the allegory of Paul further supports that the woman written in Gen 3:15 and Revelation 12... is not Mary but "Jerusalem Above"!.

Gal 4:3 Even so we, when we were children, were in bondage under the elements of the world:
Gal 4:4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
Gal 4:5 To redeem them that were under the law, that we might receive the adoption of sons.
Gal 4:6 And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father.

From the verse gal 4:4 you might hastily say: see the Son is made of a woman! That's Mary!

But upon further reading you will find the truth unfolds through an allegory by Paul:

Gal 4:19 My little children, of whom I travail in birth again until Christ be formed in you,
Gal 4:20 I desire to be present with you now, and to change my voice; for I stand in doubt of you.
Gal 4:21 Tell me, ye that desire to be under the law, do ye not hear the law?
Gal 4:22 For it is written, that Abraham had two sons, the one by a bondmaid, the other by a freewoman.

Gal 4:23 But he who was of the bondwoman was born after the flesh; but he of the freewoman was by promise.

Gal 4:24 Which things are an allegory: for these are the two covenants; the one from the mount Sinai, which gendereth to bondage, which is Agar.
Gal 4:25 For this Agar is mount Sinai in Arabia, and answereth to Jerusalem which now is, and is in bondage with her children.
Gal 4:26 But Jerusalem which is above is free, which is the mother of us all.
Gal 4:27 For it is written, Rejoice, thou barren that bearest not; break forth and cry, thou that travailest not: for the desolate hath many more children than she which hath an husband.
Gal 4:28 Now we, brethren, as Isaac was, are the children of promise.

Gal 4:29 But as then he that was born after the flesh persecuted him that was born after the Spirit, even so it is now.

Recall: Gen 3:15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.

Revelation 12:17 So the dragon was enraged with the woman, and went off to make war with the rest of her children, who keep the commandments of God and hold to the testimony of Jesus.

 Gal 4:30 Nevertheless what saith the scripture? Cast out the bondwoman and her son: for the son of the bondwoman shall not be heir with the son of the freewoman.
Gal 4:31 So then, brethren, we are not children of the bondwoman, but of the free.

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The Woman which is Jerusalem Above brought forth the man child (Christ Jesus). Yes He is the beginning of Jerusalem Above, the first born from the dead.
Colossians 1:18 He is also head of the body, the church; and He is the beginning, the firstborn from the dead, so that He Himself will come to have first place in everything.

Genesis 3:16 To the woman He said, "I will greatly multiply Your pain in childbirth, In pain you will bring forth children; Yet your desire will be for your husband, And he will rule over you." Ephesians 1:22 And He put all things in subjection under His feet, and gave Him as head over all things to the church,

Ephesians 5:23 For the husband is the head of the wife, as Christ also is the head of the church, He Himself being the Savior of the body.   Isa 66:7 Before she travailed, she brought forth; before her pain came, she was delivered of a man child. 1Th 4:16 For the Lord himself shall descend from heaven with a shout, with the voice of the archangel, and with the trump of God: and the dead in Christ shall rise first: 1Th 4:17 Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord. 1Th 4:18 Wherefore comfort one another with these words. Mat 24:29 Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken: Mat 24:30 And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory. Mat 24:31 And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other.

1Co 11:3 But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God.
1 Corinthians 3:23 and you belong to Christ; and Christ belongs to God.