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In a large bowl, mix water, melted butter, honey, salt, and sourdough starter. Mix well.
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Add the flour and mix. The dough should be shaggy but if it's too wet, add a little more flour.
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Cover the bowl and let the dough rise in the refrigerator overnight or for 8 hours at least.
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The next day, transfer the dough to a lightly floured work surface.
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Line a cookie sheet with parchment paper and sprinkle it with cornmeal.
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With a floured rolling pin, roll the dough out about ¾" thick. Transfer them to the prepared cookie sheet.
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With round cutters, cut out 12 muffins. Either discard the remaining dough or try to form more muffins (they may just not look quite as pretty).
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Cover the muffins with a tea towel. Let them rise for at least 2 hours or until they are visibly puffy and spongy.
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Preheat a cast iron skillet over medium heat.
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Add a small amount of cooking oil to the skillet. Turn the heat to low and 3-5 muffins to the skillet. Put a lid on and cook for about 4 mins on the first side.
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Flip the muffins, cover the skillet, and cook them on the 2nd side for another 4 mins. When done, let them cool on a wire rack.
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Contine in batches until they are all cooked.