I have always thought the foot stomp was a warning to other deer something wasn't quite right. As far as other deer being around almost always a doe will look back every now and then to see what is behind them. Also, they will flick their tail back and forth quick to let other deer know its ok to carry on. Their ears will turn back behind them too if something is following. I have learned the hard way to always assume something is behind them. I had a doe walking away from me one day and assumed it was safe to move a little, heard a deer blow behind me, lookend back just in time to see a nice buck turn and run.