Preheat oven to 355F or 320F fan. Grease six 3/4 cup capacity ramekins. Place on a baking tray.
Stir chocolate and butter in a small saucepan on low heat for 5 mins, until melted and smooth. Set aside for 5 mins, to cool.
Using an electric mixer, beat eggs, egg yolks and brown sugar until thick and doubled in volume. Using a metal spoon fold in chocolate mixture, until combined. Sift over rice flour and gently fold through. Fill prepared ramekins. Place on a baking tray and bake for 10 mins until just firm to touch.
Meanwhile, to make chocolate sauce, place chocolate and cream in a small saucepan. Stir on low heat until chocolate has melted and sauce is smooth. Add icing sugar and stir until combined
Serve puddings warm in ramekins drizzled with chocolate sauce.