class instance question

Hi,
 Is there a way to programmatically determine the name of an instance
of a class without having to hardcode the information?

 For example if I have a 'Cat' class and I have an instance of that
class named 'Fluffy' assuming the Cat class has a 'Name' member
variable that can hold the information, is there a way to make
'Fluffy' determine its own name without having to tell it the
information? Just curious... Thanks.