One summer, about thirteen years ago, I went on a camping trip with my mother and sister. Both my sister and I ended the trip with over 100 mosquito bites on EACH of us. No joke. Her bites went away without a problem but I had a similar reaction to what your daughter is having. My bites were swelling to the size of golf balls, were hot, and itchy for days. I had to take an oral medication as well as use a (medicated) lotion on the bites themselves. Still, after all these years, my bites will still sometimes cause such a reaction.