When I was a child I had to take Rx Benadryl (obviously this was before it was OTC) for the exact same thing, only my bites would swell to between a 2-4 in diameter. I once got bit at the corner of my eye and my eye swelled completely shut.
It is an allergic reaction, and topical creams will not reduce the swelling, only the itching. To reduce the swelling you need to give her an antihistimine. There really isnt anything else you can do for the bites, and unless she gets a huge amount of them in a short time, they are not dangerous, just uncomfortable.
As for preventing them, try to keep her indoors at and after dusk. If you plan on being near water (lakes, rivers, ponds, etc) or in the mountains, make sure to use a child-friendly insect repellant. You have to put it not only on exposed skin, but all over, because mosquitos can bite thru most cloth.
I hope that helps!
I forgot to add, if she ever gets stung by a bee, be prepared for large localized swelling. For some reason the two go hand in hand. As a child, stepping on a bee would cause swelling of my whole foot and ankle, and once even as far up as my knee! But aside from the pain and itching, I never had any serious reaction.
Angel, et al
[This message has been edited by fntsyangel (edited 05-16-2003).]