Combining Method hiding and method overriding in C#

I just could not find a satisfactory explanation for this. So I thought it would help to post this at SO.

What happens when we combine method hiding and overriding in C# ?

For the below example :

class BaseClassA
{
    public virtual void showMessage()
    {
        Console.WriteLine("In BaseClass A ");
    }
}
class DerivedClassB : BaseClassA
{
    public override void showMessage()
    {
        Console.WriteLine("In DerivedClass B ");
    }
}

class DerivedClassC : DerivedClassB
{
    public new void showMessage()
    {
        Console.WriteLine("In DerivedClass C");
    }
}

class Program
{
    static void Main(string[] args)
    {
        BaseClassA a = new BaseClassA();
        a.showMessage();
        a = new DerivedClassB();
        a.showMessage();
        BaseClassA b = new DerivedClassC();
        b.showMessage();
        Console.ReadKey();   
    }
}

I am understanding the output of

 BaseClassA b = new DerivedClassC();
 b.showMessage();

Here's what I understand for new and override in C#

New - It hides the baseclass method. So even if baseclass reference variable points to a derived class object if that derived class hides the method, the output will be baseclass output only.

Override - It overrides the baseclass method. So even if baseclass reference variable points to a derived class object if that derived class overrides the method, the output will be derived class output.

But here how can even a BaseClassA reference variable point to a DerivedClassC object and print DerivedClassB's output ?

Please explain in simple words.