01 - Preheat oven to 350°F (175°C). Grease a small baking dish or line a baking sheet with parchment paper.
02 - In a mixing bowl, combine cornmeal, flour, sugar, baking powder, baking soda, and salt. In a separate bowl, whisk together buttermilk, egg, and melted butter. Fold wet ingredients into dry until just combined. Pour batter into a greased 8-inch pan and bake for 15 to 18 minutes, until golden and set. Allow to cool, then crumble 1 cup for stuffing.
03 - Heat olive oil in a skillet over medium heat. Add celery, red bell pepper, green onions, and garlic; cook for 3 to 4 minutes until softened. Remove skillet from heat and set aside.
04 - Gently mix lump crab meat, crumbled cornbread, sautéed vegetables, mayonnaise, Cajun seasoning, lemon juice, cayenne pepper (if desired), chopped parsley, and season to taste with salt and pepper in a large bowl. Take care not to break up crab excessively.
05 - Slice each roll lengthwise, being careful not to cut all the way through. Hollow out some interior bread to create space for stuffing.
06 - Fill each roll generously with crab-cornbread mixture and arrange on the prepared baking dish.
07 - Brush tops of the filled rolls with melted butter.
08 - Bake for 10 to 12 minutes until rolls are golden and filling is thoroughly heated.
09 - Present warm, garnishing with additional chopped parsley if desired.