In a large bowl, stir together the flour, cream of tartar, and baking soda. This gives the batter a nice rise when cooked.
Cut the lard or vegetable shortening into small pieces and rub it into the flour mixture with your fingers until it looks like coarse crumbs. Then stir in the currants evenly.
Slowly pour in the milk while mixing gently. You want a soft dough that isn’t sticky. Use your hands to bring it all together on a lightly floured surface.
Divide the dough into two equal parts. Flatten each into a thick round, about 1 inch thick. Heat a heavy frying pan or griddle over medium heat and lightly grease it. Cook one hinny at a time for about 8-10 minutes on each side until golden brown and cooked through.
Slice the Singin’ Hinny and spread butter on top while it’s still warm. Enjoy with a cup of tea or coffee!