The Bible is partly history. When woman lamented female births...the Bible never said God agreed with the sentiment. God had sometimes answered prayers even when he disagreed with the reason of the petitioner, to fulfil his purpose. God saw a virtuous woman as a priceless treasure, a princess (see name of Sarah). The Bible not only records the love of God for people, it also accurately records the deeds, feelings, and ideas of fallible people that the God of the Bible did not agree with. But in order to know the whole story, the facts were recorded.
When you refer to headship (women covering their head), as in First Corinthians, Paul explains that man is the "head" of women like Christ is the "head" of the church.
In mennonite societies, women keep their heads covered to concretely represent the eternal authority of Christ over the church. Despite the misinterpretations due to pride or ignorance, this has nothing to do with male domination. Women play a very important role in the Christian life because they are the symbolic representation of what a church should be like in response to Christ's love. Paul stresses in marriage that man should behave as a symbolic "Christ" in his role, while women should behave as a symbolic "Church."
For example:
(Women should keep silent...) What would it be like if the Church interrupted God's Son while He was talking?
(...no preaching or teaching or usurping authority...) What would Church be like if the Church told Jesus what to do?
(...Help for man...Genesis) The good church assists Christ in his endeavors: praying(conversing), praise(encouraging), worship(loving obedience).
Imagine what a marriage would be like if a man was kind, sensitive, firm, loving, humble, self-sacrificing, life-providing, patient, father, long-suffering, self-mastered, good natured, peacable, and faithful?
Imagine what a marriage would be like if a woman was kind, sensitve, inquisitive but yielding, encouraging, loving, self-sacrificing, life-sustaining, patient, mother, long-suffering, self-mastered, good natured, peacable, faithful, obedient yet discerning...considering that the husband is still flesh.
Just like a puzzle with missing pieces: a picture is never complete without all the pieces.
Divorce most often occurs when there is a breaking-down in head-ship. Man fails to display characteristics common to Christ, women fail to emmulate characteristics of a good Church, sometimes both at the same time. Correspondingly, a lot of Church splits occur for simiar reasons: proud domination, lack of authority, love-lacking, pursuance of other idols or gods (adultery), mistrust, fear of any authority, impatience, financial woes, dishonesty, disbelief.
Indeed, many of the issues facing Christian churches today are very similar to the ones affecting marriages. So there's little wonder why Paul compared them in his epistle.
Warning: This response was written by a woman! =)