Stir in the milk, then blend into the butter mixture.
Pour the butter mixture over the cake and bake for 30 minutes.
Place the remaining butter mixture in a small saucepan over very low heat.
Add to the butter mixture, and mix until just combined.
Whisk about 1/4 cup of the butter mixture into the eggs to warm them.
After 30 minutes, turn the squash cut side up and brush with the butter mixture.
Push the butter mixture under the skin and over the leg.
Add the carrots and coat them in the butter mixture.
Add rest of the butter mixture on top of the fish.
Add the chicken legs, and turn them in the butter mixture until well coated.