Vintage dyed Tuscan lamb hat

Could be mens or ladies. Made in Italy. Has sewn in chin straps with Velcro that can tuck into hat when not used. No size listed. I’m about a 6 5/8 in a hat that I want to fit me snug, such as a cowboy hat, and this fits me a but less snug, but still comfortably. From a non-smoking, pet-friendly home.