Throughout Greece, and certain of its barbaric provinces, the majority of Churches keep their virgins covered. There are places, too, beneath this (African) sky, where this practice obtains; lest any ascribe the custom to Greek or barbarian Gentilehood.

Chapter 2

I pray you, be you mother, or sister, or virgin-daughter — let me address you according to the names proper to your years — veil your head: if a mother, for your sons’ sakes; if a sister, for your brethren’s sakes; if a daughter for your fathers’ sakes. All ages are perilled in your person.

Chapter 16

But we admonish you, too, women of the second (degree of) modesty, who have fallen into wedlock, not to outgrow so far the discipline of the veil, not even in a moment of an hour […] To us the Lord has, even by revelations, measured the space for the veil to extend over. For a certain sister of ours was thus addressed by an angel, beating her neck, as if in applause: “Elegant neck, and deservedly bare! It is well for you to unveil yourself from the head right down to the loins, lest withal this freedom of your neck profit you not!” And, of course, what you have said to one you have said to all. But how severe a chastisement will they likewise deserve, who, amid (the recital of) the Psalms, and at any mention of (the name of) God, continue uncovered; (who) even when about to spend time in prayer itself, with the utmost readiness place a fringe, or a tuft, or any thread whatever, on the crown of their heads, and suppose themselves to be covered? Of so small extent do they falsely imagine their head to be! Others, who think the palm of their hand plainly greater than any fringe or thread, misuse their head no less;

Chapter 17

Source: https://www.newadvent.org/fathers/0403.htm