One of my dogs does exactly the same thing! He is a rat terrier chihuahua mix. I even tried moving the bowl to the location he was bringing the food to, and he still took it further away. A dog behaviorist told me that this is normal, especially for small and/or submissive dogs. In the wild, a dog would take his share of fallen prey from the carcass and eat it at a distance to avoid another dog coming to eat from the carcass and challenging him. Basically, it was to avoid confrontation from another dog. I'm not sure how true this is, but it's the way he explained it! I thought it was very interesting. Anyway, he said that it's not indicative of anything that needs to be fixed, but if you really feel the need to make her stop, you can try feeding her in a quiet and more secluded spot - if that doesn't work, I have no idea. I just giggle at my dog because it's so strange!
