Buttermilk is part of the cornbread batter, it add flavor and lift while cooking. Left over cornbread with milk or buttermilk was a common breakfast item when I was growing up. Waste not want not.
Hugh, I used to get the Creole cream cheese ice cream at K&B drug stores. They were sold to Rite Aid in the late 90's I think. I have been gone for 30 years. I did visit often until Katrina, she ruined everything.