Not what I expected from some exception code (throw/try/catch)

I was wondering if someone could explain the output I am getting for
the program below. What I expected from the main program output was
"Cat" but instead I see "Mammal". The output is also included below.
I got the same results with GCC 3.4.4 under cygwin as with MSDev
studio 2003. Even stranger to me, if I change the catch statement to
catch a Cat instead of a Mammal, the program crashes in the catch
body, during the call to m.MyType(). Thanks for any explanations in
advance.

Program:

#include <iostream>
using namespace std;

class Mammal
{
public:
    Mammal()
    {
        cout << "Constructing Mammal @ " << this << endl;
    }
    Mammal(const Mammal& source)
    {
        cout << "Copy Constructing Mammal @ " << this << " from " <<
&source << endl;
    }
    ~Mammal()
    {
        cout << "Destructing Mammal @ " << this << endl;
    }
    virtual const char* MyType()
    {
        return "Mammal";
    }
};
class Cat : public Mammal
{
public:
    Cat()
    {
        cout << "Constructing Cat @ " << this << endl;
    }
    Cat(const Cat& source)
    {
        cout << "Copy Constructing Cat @ " << this << " from " <<
&source << endl;
    }
    ~Cat()
    {
        cout << "Destructing Cat @ " << this << endl;
    }

    virtual const char* MyType()
    {
        return "Cat";
    }
};

int main(int argc, char *argv[])
{
    Cat fluffy;
    Mammal &fluffyRef = fluffy;
    try
    {
        throw fluffyRef;
    }
    catch (Mammal &m)
    {
        cout << "Caught a " << m.MyType() << endl;
        return 0;
    }
    cout << "Nothing Caught" << endl;
    return 0;
}

Output:

Steve@nessus /cygdrive/f/dev/src/TestWorkspace
$ ./TestWorkspace.exe
Constructing Mammal @ 0x22ccc0
Constructing Cat @ 0x22ccc0
Copy Constructing Mammal @ 0xc306d8 from 0x22ccc0
Caught a Mammal
Destructing Mammal @ 0xc306d8
Destructing Cat @ 0x22ccc0
Destructing Mammal @ 0x22ccc0