This is the primary source: 1Cor 14:34 the women should keep silent in the churches. For they are not permitted to speak, but should be in submission, as the Law also says.
I've wondered about this as well...
So I was studying this some more, and found that the Talmud (the extra-Biblical oral law made up by the Pharisees with many burdens) contains language similar to these verses. It said things like:
--a woman should know nothing but the use of her distaff
--a woman is in all things inferior to a man. Let her accordingly be submissive
--a female's voice is prohibited because it is sexually provocative
--women are sexually seductive, mentally inferior, socially embarrassing and spiritually separated from the law of Moses; therefore, let them be silent.
--it is a shame for a woman to let her voice be heard among men.
--the voice of a woman is filthy nakedness
--a woman's speaking is lewd, vile, filthy, decent, foul, dirty and morally degraded
While the men (particularly the elders + apostles) took charge of the situation, it seems that the rest of the assembly (which would have included women) were present during some of the discourse and also were a part in encouraging the messengers.
Just something to think about.
So... your references and many other indicate Paul did not feel that the voice of a woman was filthy nakedness, lewd, morally degraded, etc. Women were heavy contributors in the early church, were permitted to prophesy and to pray, were involved in teaching doctrine to ministers, etc. Certainly the book of Galatians points out Paul's abhorrence for these extraBiblical laws.
One theory about v 34, 35 that seems plausible to me is that he is quoting the Talmud to then refute it starting in v. 36. He uses this type of structure in other places, so it seems possible.
Famously, for example in Romans 6: Shall we continue in sin that grace may abound? God forbid.
Also Galatians 3: is the law then against the promises of God? God forbid
etc
At this point, I'm leaning towards 34 & 35 being a quote from the law (Pharisees) that he's disputing starting in v 36. Their verbiage is closely paralleled in the Talmud, and no references to such in "the law" of the OT can be found. It is also contradictory to the functioning of Paul's ministry as it involved the sisters of the church.
So, if all of that is the case, it's very sad that the very burdensome and loathsome Talmud teachings that Paul was disputing was understood to be his truth and used to shame/oppress/abuse women for the last 2,000 years, exactly in opposition to what he was trying to say.
Until someone comes up with a law (other than the extraBiblical Talmud) that says that women speaking is a shame that this could be referring to, my convictions will lean in this direction now. It has been an interesting study!