This is an ideal spot for everything inheriting from "Node", but even that is unnecessary.\
What you probably want is a single generic "Node" object that contains references to your different classes (use composition before inheritance).
At that point, each of your different classes probably has something that can be done to them (otherwise why are they all in the same data structure?) Have them implement a common interface with this common functionality. The node class can delegate to this interface, or some other class can extract the class by this interface and act on it.
This would be better than trying to force something to also BE a node--do one simple thing and do it well.
--edit--
I can't really add an example that is relevant to you because you didn't post anything about your scenario.
But let's say that you have these different classes A, B * C. First of all are they related AT ALL aside from all being children of Object? Let's say they all implement interface "Iface". (If not, you can just replace Iface with "Object", but this really implies a bad design.)
Anyway, your "Node" object is just one object--
public class Node {
private List<node> children;
private Iface myObject;
... setters, getters, tree implementation, tree navigation, related garbage...
}
Now this is enough to create your tree. One thing that you might be able to do to make things smoother, have "Node implements Iface" and delegate any calls to it's object. For instance, if Iface contains an eat(Food foodtype) method, your node could implement Iface and have a method:
public void eat(Food foodtype) {
myObject.eat(foodtype);
}
This would make the "Node" class act as though it was the class it contained.
By the way--another relatively good idea at this point would be to make myObject "private final" and ensure it is not null in the constructor. That way you would always know it was set and none of your delegated members would have to do null checks.