CONTEXT, CONTEXT, CONTEXT!
Each of those passages have a different subject, therefore to jumble them together to create a "silent women in the church doctrine" is not wise. You mention "headship" as perhaps the over riding principle, but I submit that cobbling Scriptures together to create a Frankenstein from Scriptures. Here is why.
You first need to ask if "headship" is universal, meaning showing deference to all men, or is it particular, meaning relating only to the husband-wife situation. Because 1 Corinthians 14:35 makes it clear that at the home, the husband is the head of the wife I believe that the particularity of the relationship is what is meant, and not being universal. Look at the passage as a whole, and not just focus on its parts.
1 Corinthians 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.
4 Every man praying or prophesying, having his head covered, dishonoureth his head.
5 But every woman that prayeth or prophesieth with her head uncovered dishonoureth her head: for that is even all one as if she were shaven.
6 For if the woman be not covered, let her also be shorn: but if it be a shame for a woman to be shorn or shaven, let her be covered.
7 For a man indeed ought not to cover his head, forasmuch as he is the image and glory of God: but the woman is the glory of the man.
8 For the man is not of the woman; but the woman of the man.
9 Neither was the man created for the woman; but the woman for the man.
10 For this cause ought the woman to have power on her head because of the angels.
11 Nevertheless neither is the man without the woman, neither the woman without the man, in the Lord.
12 For as the woman is of the man, even so is the man also by the woman; but all things of God.
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The first thing to notice is that Jesus Christ is head of BOTH men and women. (verse 3a)
Then notice that the head of THE (definite article) woman is THE man. therefore there is a particular application in mind, and not a universal application (verse 3b)
Of course the entire "headship" is rooted in the UNIVERSAL headship of God the Father (verse 3c)
Verses 4-5 indicate that men must not have their heads covered when they pray. And that practice continues today.
However there is a fly in the ointment when it comes to verses 6-7. You see, if the practice of female submission is to be universal, then we need to have our women looking like the Amish women, wearing a bonnet, or perhaps wearing a burka, like the women in Afghanistan. And on the practical side, maintaining the universal submission of women to men it would mean that Reba could not be an Administrator here, nor could Reba moderate the posts of men. YIKES!!
All kidding aside, it is significant that the definite article "the" is used 20 times; 11 times for
the women (in pink) and 9 times for
the men (in blue). Since there is nothing in the Bible that is placed there by "accident" that degree of specificity MUST be significant. There are a total of 199 words in the above passage (excluding the numeration) and 44 of them are either "the women" or "the men". That is 22% of the words which specifically refer to one man or to one woman. Would God have caused Paul to mean a universal application of submission of all women to all men in the light of such specificity? I think not.
Of course, I have not gone into the Greek here, and I could if I choose to do so. I say that because I am sure that someone will go and count the Greek definite articles, and come up with something different just to "prove me wrong". I would stipulate that Paul, being such a great writer of Greek would have (anachronistically) used the Granville Sharpe rule here several times to keep from having stilted prose. But that is an aside.
Therefore, it appears to me that those in the Anabaptist community do have it wrong regarding women in the church, and I posit that others who are positing that position also have it incorrect.