A chemical peel smoothed the skin of her lower eyelids, crows feet area, and also the little wrinkles that spill out over the cheekbones from the lower eyelid area.

This result could not have been accomplished with the standard lower eyelid surgery, also called a blepharoplasty.  We do not try to remove wrinkles by stretching the skin.  The tutorial on lower eyelid surgery contains a discussion on what can happen to the lower eyelids when a surgeon attempts to remove wrinkles by stretching the skin (the surgery tutorials contain explicit photographs taken during surgery).