This is a pretty mother and daughter set for after bath.
The original tissue reads:
Mother and Daughter Powder Mitt
An after-bathing delight for Mother and a thrill to the Junior Miss. A luxurious convenience - holding an ample three to six month's supply of satiny, air-blown talcum - delightfully scented to impart a lingeriing airy freshness to the skin - the perfect finish for the bath.
Skin Luxury
by Parfait
As they are so lovely inside the box, shown as turbans with pink ribbons labeling 'Mother' and 'Daughter', I didn't poke around too much. Both mitts appear to be made of white nylon with pink bow accents.
The powder reamins inside, you can smell its light but familiar vintage dusting powder scent.
Box measures 11 x 8.5 inches, 1 inch deep. All corners are intact. No writings or problems. Lovely.

Not a true vanity item, it's a bath set, but I'd call it a vanity collectible as it's pretty enough to display.