In a heavy saucepan, on medium heat, melt the butter while being careful to watch and not burn the butter.
Add the brown sugar, a little at a time, until mixed.
Whisk constantly until the sugar is dissolved and the mixture is smooth and almost to the point of simmering.
Don’t boil the sauce; it will crystalize.
Slowly add the heavy whipping cream, while continuing to stir.
Blend well and immediately remove from the heat.
Add the bourbon and mix well.
Serve the sauce over the bread pudding.
Add a scoop of vanilla ice cream on top and serve immediately.