I've heard this before too. As I said, it's a subject that even knowledgeable theologians can't agree on, so I doubt any of us common folk ever will. When we look at the verse in 1st Timothy there is controversy over the translation. In 1 Tim 2:11 (KJV) "Let the woman learn in silence with all subjection." and 1 Tim 2:12 (KJV) "But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence" the word translated to "woman" in both of these verses is the Greek "
gynē" which also can mean "wife" depending on the context. Also in Verse 12 the Greek word "
anēr" which is translated to "man" can also mean "husband" depending on the context.
This is also the case in 1 Cor 14:34 (KJV) "Let your women
(gynē) keep silence in the churches: for it is not permitted unto them to speak; but
they are commanded to be under obedience, as also saith the law" and in 1 Cor 14:35 (KJV) "And if they will learn any thing, let them ask their husbands
(anēr) at home: for it is a shame for women to speak in the church.
I don't really have any answers for this and I can see both sides of it, but the more I read, and the more I look at what other scripture says, the more I tend to think that Paul wasn't really trying to say all women must be silent in the church at all times or that they are prohibited from any type of leadership. We have to look at passages in the context of all scripture, and we see other places where Paul speaks of women in positions of teaching and authority, and he doesn't condemn them or speak negatively of them in any way. If this were a wrong thing for all women in all situations, why would Paul mention it favorably in one place and condemn them in another place? That doesn't make sense to me. Of course, it does make sense if we think of the passages I mentioned above as referring to relationships between husbands and wives instead of the relationship between all women and the rest of the church in general. Since this interpretation lines up with the other times Paul favorably mentions women in positions such as deacons and prophets, I'm tending to lean toward this as a more probable true meaning of these verses.
In the verse pertaining to the women of the Corinthian church in particular, we know that that the first letter of Paul to that church was addressing all manner of ridiculous things that shouldn't have been going on. I've heard it explained that the situation with the women "speaking" was most likely one of groups of women hanging around gossiping and arguing with each other while the worship or other things were going on, therefore being a distraction. I don't know if there is any historical evidence that this was happening or not, but it would make more sense to me in light of other scripture if something like this were what Paul was addressing. There were a number of things in 1 Corinthians that Paul addressed that were aimed at specific problems in that particular church.
In light of this, I tend to lean to the side of seeing no reason a woman can't have a position of leadership or teaching in a church. I think there are many conceivable situations where she can certainly be a church leader and still submit to her husband (if she is married) as a wife should. I suppose it's possible to nit-pick away at every possible situation and find the rare circumstances where this may not be true if someone really wants to not accept it. But it seems to me in general that it shouldn't be a problem.
But as Paul said: "This is me saying this, not the Lord!"

The church I work at doesn't allow women to be pastors, deacons, elders, or any other "position of leadership", although they do allow them to be teachers and had a woman youth "director" for a time. This makes no sense to me (that they can be teachers or "directors" in light of the other restrictions), but I don't try to fight them on it or go against what they do. I'm just an employee there and I'm not looking to cause problems or divisions. Likewise here, I don't know that my current view on this is right or not. I'm just putting out some food for thought on this that I have seen and heard over the years as well as seen in my own research. I personally tend to shy away from saying women must be silent in all situations in church and can't be leaders in any situation.