In 1 Corinthians 11, we read of women covering their heads, in church. They did this to disguise the fact that they were women. In the era before the completion of the canon of Scripture, prophecy was yet forthcoming, to be codified (finally) in what would later become the completed New Testament.
Women were to be silent in the church (1 Cor. 14:35b)—in the sense that they were not to be “praying and prophesying,” a technical term used in 1 Corinthians, for tongues and interpretation of (tongues).
If a woman absolutely felt compelled to “pray or prophesy,” (viz. pray in tongues in church, [or interpret tongues])—then she was to do so with her head covered.
This was to be done, “Because of the angels,” (1 Cor. 11:10). Many good interpreters of this verse understand the “angels” not to be celestial beings, but the pastors (and perhaps also ruling elders) in the churches.
At any rate, the requirement for head coverings of women “praying or prophesying” ended, when the canon of Scripture was closed.
For a fuller account of this 1 Cor. 11 passage, go to: http://www.biblicalhorizons.com/bh/bh054.htm This is the best handling of this text that I have ever come across.