K.A.
Check out the Flip cams, they're designed for uploading smaller video clips to myspace, youtube, things like that. They run around $100. If she's into more than just videos for social sites, and wants to film things longer than 60 minutes then you might have to get a fancier camcorder-style.
We have a regular digital Kodak Camera that takes videos and photos and we love it. We filmed my brother's wedding ceremony, birth of our daughter (no camcorders allowed, but cameras were!) everything. Plus we take tons of pictures too...2 in 1!
I also have a sony digital camcorder (fancy kind) and it's sat in the case since we got the digital camera w/ video.