Meanwhile, make the crepe batter: In a large bowl, whisk six eggs with 1 1/2 cups of water. Gradually add flour and 1/8 teaspoon salt, whisking gently until smooth. Cover and refrigerate for 30 minutes.

While batter chills, make the filling: In a large bowl, combine ricotta, mozzarella, Parmesan, the remaining two eggs, the parsley, 1 teaspoon salt, the pepper and the nutmeg. Cover and refrigerate until ready to assemble the manicotti.

Heat oven to 375 degrees and lightly brush two 9-by 13-inch baking dishes with oil.

Make the crepes: Remove batter from fridge and whisk it briefly. Heat about 1/2 teaspoon vegetable oil in an 8-inch nonstick pan over medium heat. Add about 3 tablespoons of batter, lifting and swirling the pan to spread a thin, even layer of batter on the bottom of the pan. Cook until batter starts to appear dry, about 30 seconds, then carefully flip crepe over and continue cooking for another 30 seconds. Transfer to a wire rack to cool. Repeat with remaining crepe batter, adding oil every few crepes and adjusting heat as necessary.

Assemble the manicotti: Spread 3 to 4 tablespoons filling down the center of a crepe. Roll it up and place it, seam-side-down, in one of the baking dishes. Repeat with remaining crepes and filling. Divide marinara sauce between two baking dishes, spreading it evenly over the manicotti, then bake for 30 minutes. Sprinkle each baking dish with about 1/2 cup pecorino Romano and continue baking until the sauce is bubbling and the cheese is just starting to brown, about 10 minutes more.