Hi Tim: You need to be in Button editing mode to see more than one state. Sounds like you're just viewing the instance on the canvas. To get to button editing mode, double-click on the button. The trick with creating/editing the additional states is that no objects be selected on the canvas. When nothing is active, you will see the States menu in the Properties panel. Button symbols will not show any states in the standard states panel, because they are sort of "self-contained". You won't see more than one state unless you are in button editing mode. You should however, see the slice. HTH
Many thanks for your very prompt advice. I am an absolute newbie; but the only real problem I have come across so far is the construction of the buttons. I will work on this tomorrow.
Let me know if you have any more problems. And if there is something which is not clear in the book, I want to know that as well, for future versions.