No she is not trying to bite them. She is trying to move them to a place where she feels comfortable. She needs to be in a place that is quiet, away from the everyday comings and goings of your household. In a dark place, they are naturally den animals, so try to make her a box in a place where everyone doesn't walk past. If you have kids, keep them away! When my female has her pups, I put her in a room in my house that we don't use much, but is close to me, if I hear that help is needed in there. I make sure it's dark and quiet. No running and yelling kids! It sounds like her first litter too, so she is excited. Just try to calm her, keep it dark and quiet and I bet she will be just fine in a day or so.
Good luck.