Here is a recipe for Burnt Sugar Icing. The other one is for burnt butter icing which I have been wnating to try but just never get around to it. Hope this helps!

Burnt Sugar Icing

2 cups white sugar
2 tablespoons butter
1/4 cup boiling water
1/2 cup milk
1/8 teaspoon salt
1 teaspoon vanilla extract

Over a low heat, pour 1/2 cup sugar into a heavy pan. Stir constantly with a wooden spoon for 8 to 10 minutes; or until it is caramelized (light brown colored).

Pour the boiling water into the caramelized sugar and stir until the sugar has dissolved. Stir in the butter, milk, salt and remaining sugar. Boil the mixture until it reaches soft ball stage, approximately 236 degrees F (115 degrees C). Cool the mixture to room temperature. When the mixture has cooled, stir in the vanilla extract.

With an electric mixer, beat the mixture until it is thick and creamy. Spread on cake.

Burnt Butter Icing:

1 stick butter
2 C. powdered sugar
1 tsp. vanilla
2-4 T. hot water

For the icing, melt butter until golden brown. Blend in sugar and vanilla. Stir in enough water to make it easy to spread.