The woman is Israel as was stated above. Genesis 37:9 KJV
And he dreamed yet another dream, and told it his brethren, and said, Behold, I have dreamed a dream more; and, behold, the sun and the moon and the eleven stars made obeisance to me.
The man child are the "overcomers".
Revelation 2:26-27 KJV
And he that overcometh, and keepeth my works unto the end, to him will I give power over the nations: And he shall rule them with a rod of iron; as the vessels of a potter shall they be broken to shivers: even as I received of my Father.
Revelation 3:21 KJV
To him that overcometh will I grant to sit with me in my throne, even as I also overcame, and am set down with my Father in his throne.
The man child is " caught up" (greek "harpazo", latin "rapturo") as in
1 Thessalonians 4:17 KJV
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.
After this satan is thrown down to earth thus beginning Daniels 70 th week or the seven years of tribulation.
Israel has a place prepared fot her for the alloted time. Revelation 12:6, 14 KJV
And the woman fled into the wilderness, where she hath a place prepared of God, that they should feed her there a thousand two hundred and threescore days........ And to the woman were given two wings of a great eagle, that she might fly into the wilderness, into her place, where she is nourished for a time, and times, and half a time, from the face of the serpent.
The remnant of the woman is the remainder of the church that was not "cought up" fullfilling Revelation 13:7 KJV
And it was given unto him to make war with the saints, and to overcome them: and power was given him over all kindreds, and tongues, and nations.
And becouse i recognise that it is odd to say that israel gives birth to the church the following verses should be considered
Romans 4:11 KJV
And he received the sign of circumcision, a seal of the righteousness of the faith which he had yet being uncircumcised: that he might be the father of all them that believe, though they be not circumcised; that righteousness might be imputed unto them also:
1 Peter 3:6 KJV
Even as Sara obeyed Abraham, calling him lord: whose daughters ye are, as long as ye do well, and are not afraid with any amazement.
Romans 11:16-18 KJV
For if the firstfruit be holy, the lump is also holy: and if the root be holy, so are the branches. And if some of the branches be broken off, and thou, being a wild olive tree, wert grafted in among them, and with them partakest of the root and fatness of the olive tree; Boast not against the branches. But if thou boast, thou bearest not the root, but the root thee.