"The elect" don't give birth to Jesus. Jesus gives new birth to them through baptism.
The woman of Revelation 12 does give birth to Jesus; the text flatly says so. It's amazing what you learn when you actually read the Bible, instead of just believing what "Brother So-and-so" tells you about it.
Clearly salvation will come out of Tzion. The woman is the wife of YHvH: Israel. If you were to read the entire chapter Seek YHvH in His WORD ! You might want to try using CONTEXT.
shalom b'SHEM Yah'shua HaMashiach
Read the rest of chapter twelve to
understand the one verse
that you have ripped out of context.
She, Israel, gives birth to Yah'shua.
instead of the Man-Made Traditions you
see that the woman is Israel.