Place the beer, honey, salt, flour, and yeast in your bread machine, in the order required by your bread machine. Select the dough cycle.
At the end of the cycle, put the dough on a floured board and divide into 4 equal pieces. Roll each one into a ball and place on a parchment lined baking sheet to rise. Sprinkle with cornmeal, and cover very loosely with plastic wrap, and let rise for 30 minutes.
Brush the bowls with the egg wash, and cut an x on the top.
Preheat the oven to 400 degrees, and bake the bowls for 30 minutes. Let them cool completely. Cut the tops out and scoop out the middle, leaving lots of bread still to make the bowl. Bake for five minutes more.