In a large bowl, mix the active sourdough starter and warm milk.
Add melted butter and sugar, mixing until combined.
Gradually incorporate the flour and salt, stirring until a sticky dough forms.
Knead the dough on a floured surface for about 5 minutes.
Place dough in a greased bowl, cover, and let it rise in a warm place for 3-4 hours.
Once doubled in size, punch down the dough and roll it out to about 1-inch thickness.
Cut out muffins using a round cutter and place them on a cornmeal-dusted baking sheet.
Cover the muffins and let them rise for another hour.
Preheat a skillet or griddle over medium heat.
Cook muffins for about 5-7 minutes on each side until golden brown.