You nailed it...........she is a whining walker. I've had a couple. They want to run and play on their own terms and walking with a group is confining to these active kiddies. I don't know how many times I have called out "walking feet" to this type of child as if I let them walk on there own accord they run.
I have a wagon with a canopy, and if their is whining they must hold onto the rod of the canopy or hold my hand. I just tune them out. It is tough, but once they realize it isn't getting them anywhere, they usually stop. Usually