You can buy solar protective clothing if she has issues with sunblock. Take a look at coolibar.com for some examples.
No one in my family has gotten a sunburn since I started using no-rub spray-on mist sport sunblock, and we're porcelain-skinned redheads. The trick is to use a LOT of it, and often. You should by rights use 1 oz. per application on an adult, and reapply every 90 minutes or so. For one week, my party of 3 adults and one 7 yo used 18 [yes, eighteen] 6-oz. spray cans of sunblock, plus 3 wax sticks for faces, and the part in our hair. We do wear sunhats and sunglasses, too.
I find that the spray works because it is so easy to apply; we actually do it when we are supposed to. With the lotion types we hated the messiness of getting it applied, so we tended to procrastinate.
Make sure that whatever you buy is rated to repel both UVA and UVB radiation.