Combine 1/2 of the half-and-half and 1/2 of the cream into a saucepan over low heat. Add chopped chocolate to the warmed cream mixture, whisking constantly (to prevent scalding) until chocolate is melted, 2 to 3 minutes. Pour in remaining half-and-half, remaining cream, sugar, vanilla extract, and cinnamon.

Add red wine and allow to bubble for about 3 minutes. Remove from the heat and pour into a coffee mug to serve.