Two sweet little hats One ?? seller

[BijouVintage]

I found these two sweet little hats in my travels and as much as I love to wear hats i'm not really that great with them

Am I right that these two are probably late 50's ? and what would you call the style of the first one?

 

[Ookoo]

Is that first one a pillbox hat? They're both lovely.

 

[MagsRags]

A toque, I think. Pillboxes and toques are about the same size, but the pillbox usually with cleaner simpler lines.

 

[BijouVintage]

that was my thought.. I expect a pillbox to be more structured than this one.. so toque sounds right