Peppermint Stick recipe

I had this drink today at Sidetracks bar in Ypsilanti, MI. I wrote down the ingredients listed on the menu and looked up the recipe as soon as I got home. This recipe has the same ingredients, but the bar calls it a martini, which it is not. It was a wonderfully sweet, minty, and creamy drink- perfectly festive for the holidays. I'm going to serve this at a holiday party I'm hosting with crushed peppermint candies around the rim of the glasses.