
This is the perfect dessert for early autumn, when the weather is still a bit warm and there's a flush of delicious apples. Keep in mind you need to allow ingredients to cool before combining, so give yourself a lot of time to let ingredients rest before you plan on serving.
Heat the butter in a wide frying pan (use one that has a lid that fits on it, we’ll use it later) over medium low heat. Swirl the pan around a bit every couple minutes to help it cook evenly. Over a period of several minutes, you’ll notice the foam at the top of the butter start to change from light yellow to a light brown. Watch VERY closely, as it can go from being brown to burt very quickly. Once it reaches the light brown stage and the butter looks light brown and golden, smell it. It should smell nutty and similar to toffee.
Add the apples and stir to coat, cooking for 1 minute more, then add the sugar, water, and cinnamon stick and stir to combine. Cover and allow the mixture to simmer over low heat until apples release their juices, about 5 minutes. Uncover, add the nutmeg and vanilla, and continue cooking until most of the liquid has evaporated (ideally only about a tablespoon's worth left in the pan), about 20 to 25 minutes more, stirring every 5 minutes. Remove from heat and allow to cool completely (they CANNOT be warm when assembling the tiramisu as it will melt the mascarpone cream).
In a small thick-bottomed saucepan, mix together the water and the granulated sugar until well blended. Bring to a boil over medium-low heat and continue boiling until the mixture turns a light caramel color, only stirring once every four minutes. This took me about eight minutes, but the speed will depend upon the heat of your stovetop. Remove the pan from heat and quickly stir in the heavy cream, butter, and brown sugar until incorporated. Be careful as the mixture will spit and hiss a little.
If the sugar begins to clump up when you're stirring don't worry, just stir for about 30 seconds, and then put the pot back on the heat and bring it back to a boil again over medium-low heat. Once it is boiling again stir until the sugar chunk dissolves and the mixture is smooth. Once it smoothes out, stir it every two minutes and allow the mixture to simmer for about another 10 minutes or until it has thickened slightly. Remove from the stovetop and stir in the salt. Set aside to cool to room temperature (do NOT use warm, it will melt the mascarpone whipped cream).