Chantilly lace
Refers specifically to the delicate handmade lace from Chantilly, France, or items made with it. Often used in fashion contexts.
彼女はシャンティーのドレスを着ていた。
She was wearing a dress of Chantilly lace.
レース is the general Japanese word for any kind of lace fabric, while シャンティー refers specifically to the fine, scroll-patterned lace originally made in Chantilly, France.
From French 'Chantilly', the town in France famous for its lace.