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Preheat the oven to 425 degrees F.
Put the butter in an ovenproof cast iron pan to melt.
Beat the eggs in a mixing bowl, add the oil and milk, and mix well. Add the sugar and cornmeal and stir a bit. Do not stir too much or the cornbread will come out tough.
Shake the melted butter around in the pan to coat it evenly.
Spoon the cornbread batter into the hot pan and bake for 15 to 20 minutes in the pan.
(Serves 8)
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