Always read the label
As the body gets ready to break down the extra lining that's built up on the wall of the womb (uterus) it releases hormones called prostaglandins. These hormones trigger the muscles in the womb (uterus) to contract and push the lining out of the body through the vagina. (They're the same muscles that push a baby out of the womb during labour so they're pretty strong!)
So why is it that your daughter suffers from period pain when some girls hardly notice it? It could be because she has higher levels of prostaglandins which make the muscles in her womb (uterus) contract harder or faster. Or it could be because the blood supply to her womb (uterus) decreases during the contractions so there's less oxygen reaching this part of her body, making the muscles cramp even more.