Did you know that most women wore church hats to mass, not veils? In the US it was Jackie O who made the mantilla style head covering a trend.
I never saw women wear hats in Church other than Easter. My mother always wore a black veil. Before J.k. was flotus. Easter was the day everyone got dressed up. But most still wore a veil. Including the little girls. Most of the little girls wore just a cap like veil. Women wore the full veil.