In a medium saucepan, add the milk, chocolate chips, sugar and salt. Heat on medium low heat, frequently whisking. Continue whisking until the chocolate melts completely, and the mixture comes to a low simmer. (Do NOT let boil, as it will burn to the bottom of the pan.) Once the liquid comes to a low simmer, promptly remove from heat. Add the vanilla and stir to combine.

To mugs or glasses, add the Irish Cream, and ladle in the hot chocolate. Top with whipped cream and chocolate shavings if desired.