Do pets really know their own names?

I think they do. I have two cats Pussington and Bandit. Bandit will come if I call Bandit or Bandit Cat but Pussington will not come. Pussington will come if I call Pussington or Pusspuss, Bandit will not come. Maybe it is just in the tone I use for each name, but I really do believe they know their names, and at the very least they know the difference between Bandit and Pussington.