Canon's powershot would be the way to go, in my opinion.
It has Canon's DIGIC 4 processer. This thing is in many of their high-end dslr's and is very fast. Time between shots is very short. On burst mode it can shoot 8.2fps while you hold down the shutter. You can also record high speed, HD video and then watch it in Super Slow Mo. Just lots of good features for action shooting.
The Canon 5097B001 PowerShot ELPH 300 HS Red 12MP Digital Camera with 5x Zoom and 2.7 In. LCD Display has a slim profile that will not only make you stand out from the crowd, but it will also deliver incredibly brilliant still images and amazing 1...
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I own a lot of cameras but I've always respected the ease of use and image quality of the Powershot. The elph really will go anywhere. Great for parties, family trips, just shooting the kids. It does well in low light and even takes great video. I think she'd be happy.
10.0-megapixel resolution for large, photo quality prints
12x wide-angle optical zoom; dual image stabilization
Face Detection with Auto Red-Eye Removal; ISO 6400
2.7-inch LCD screen with Micro Thumbnail View
This is a terrific point and shoot camera that takes excellent action shots and is very reasonably priced. Comes equipped with an ultra zoom lens, is built tough and strong, takes clear images, and is simple in its use and feel. It will be perfect for low light environments, sports, etc. It has automatic scene selection, dual image stabilization, full manual adjustment control, face detection, automatic red-eye removal, panoramic mode, and an instant zoom. This camera really offers it all.