Whisk together first 4 ingredients in a large bowl; let cool. Whisk in eggs.
Sift together self-rising flour and next 3 ingredients; whisk into molasses mixture, whisking until smooth. Pour batter into a greased and floured 8-inch square baking pan.
Bake at 350° for 30 minutes or until a wooden pick inserted in center comes out clean. Serve with warm Stewed Yard Peaches.