I've recently been thinking about this issue as it seems Satan has used it to discourage women and embolden men to dishonor their wives. The reason I've been interested in this is because the lack of knowledge and scripture twisting men do and my wife was concerned about it.
There were lots of examples of women owning and operating their own farms and spreading the Gospel in the Bible. But Satan likes to Scripture pluck as he did when tempting Jesus. This does not mean there isn't an Order to things, just that Order is abused by man.
I reckon that Gods established 'Order' is more to do with the attempt at avoiding division within the body of Christ than it is to 'who's boss'.
For example Father>Christ>Man>Women>Children. When delegating authority a chain of command is crucial in getting things done properly. I see this as being no different than an army (Christian soldiers anyone?).
Here is what some men under the leadership of Satan
don't want you to see:
Eph 5:25 Husbands, love your wives, even as Christ also loved the church, and
gave himself for it;
Col 3:19 Husbands, love your wives, and be not bitter against them.
1Pe 3:7 Likewise, ye husbands, dwell with them according to knowledge,
giving honor unto the wife, as unto the weaker vessel, and as being
heirs together of the grace of life; that your prayers be not hindered.
Act 10:34 Then Peter opened his mouth, and said, Of a truth I perceive that God is no respecter of persons:
If the children obey their parents and their parents obey God non shall stand against them. God Bless the family unit!