Preheat the oven to 325 degrees F.
Sift all the dry ingredients 3 times and put in the bowl of a mixer. Add the butter using a paddle attachment and combine until the butter is completely dispersed. Add the currants and then the buttermilk, and mix until a dough forms. Roll out the dough to a thickness of about 1-inch. Use a cutter to cut desired shapes. Brush with cream and sprinkle with sugar. Bake until lightly golden, about 15 minutes.
Recipe courtesy of Windsor Court Hotel, New Orleans, LA