Princess Patricia - "Patsy"
Did you know there was once a Princess Pat? We think this is an unlikely choice if William and Kate have a girl but perhaps it's worth a thought anyway. Princess Patricia of Connaught, seen here inspecting her Canadian regiment during WW1, was Queen Victoria's granddaughter. She was know as Princess Pat or just Patsy to her friends.
We can't exactly envisage Queen Patricia and Patsy just makes us think of 'EastEnders'. So we think it's highly unlikely that William will be looking at this relation's name for inspiration.
Odds: Highly Unlikely