### Step 1: Preheat your oven to 350 degrees Fahrenheit (or 175 degrees Celsius).
### Step 2: In a large mixing bowl, whisk together the flour, rolled oats, brown sugar, baking powder, salt, cinnamon, and nutmeg.
### Step 3: In a separate mixing bowl, combine the milk, vegetable oil, eggs, and vanilla extract. Mix until well combined.
### Step 4: Add the wet ingredients to the dry ingredients and mix until just blended. Be careful not to overmix!
### Step 5: Grease two muffin tins or line them with paper liners. Spoon about 1/4 cup of batter into each muffin cup.
### Step 6: Place the muffin cups on a baking sheet and bake in the preheated oven for 20-25 minutes, or until a toothpick inserted in the center comes out clean.
### Step 7: Remove the muffins from the oven and let them cool completely. Once cooled, carefully remove the muffins from the tins.
### Step 8: Crack open an egg and pour it into each muffin cup. Gently press down on the yolk to break it.
### Step 9: Cover the baking sheet with foil and bake in the oven for another 15-20 minutes, or until the whites are fully set.
### Step 10: Remove the muffins from the oven and let them cool completely before serving or storing.
Enjoy your delicious green meadows six week bran muffins eggs!