In a mixing bowl, combine the heavy cream and whole milk.
Add the Baileys Irish Cream and granulated sugar, mixing until smooth.
Stir in the vanilla extract.
Chill the mixture in the refrigerator for at least 2 hours.
Pour the chilled mixture into an ice cream maker and churn according to the manufacturer's instructions.
Fold in the semi-sweet chocolate chips before transferring to a storage container.
Transfer the mixture to a freezer-safe container and freeze for at least 4 hours, or until firm.
Serve and enjoy your homemade Baileys ice cream!
