The more research I have done on the subject, the more I have come to see how problematic is the widely-accepted interpretation of 1 Corinthians 11:2-16 which asserts that Paul is merely urging the saints in Corinth to conform to local and secular customs.
In my opinion this idea raises more problems than it solves.
Among the Greeks it seems that men did not ordinarily wear anything on their heads for worship of their gods, or in public generally.
It is well-known that Greek men tended to minimize their clothing.
Some of these customs pertained specifically to religious cults, ceremonies, offices, and exercises.
Some of them pertained to women, and others to men.
These upper garments (himation, pallium, toga) were just large oblong pieces of cloth wrapped around the body in various ways. Working men would typically wear a short chiton which did not reach the knees (figure 2).
The idea that immoral women were recognized as such by the absence of a headcovering has no basis at all in ancient evidence.
I offer this survey of ancient headcovering practices in the hope that it will clear away some common misconceptions, and bring into sharper focus the customs which many biblical expositors have held to be so important for an understanding of the Apostle Paul's instruction to the Corinthians regarding headcoverings.
Too often I find that the statements made by biblical expositors on this subject are inaccurate and simplistic.
We should beware of putting too much weight upon this evidence, however, because it may be that in these illustrations the women are depicted without headcoverings because they are at home, and perhaps it was merely a convention of Greek art to portray women in this way.
It is hard to tell from the depictions alone whether or not the women are in a public setting.