Cook noodles according to package directions until just barely tender.

Drain the cooked noodles.

Melt butter in a skillet.

Saute diced cabbage in the melted butter until tender.

Butter a 2 1/2-quart casserole dish.

Place half of the noodles as a layer in the buttered casserole dish.

Add half of the sauteed cabbage as a layer on top of the noodles.

Spread all of the ground ham as a layer on top of the cabbage.

Layer the remaining cabbage on top of the ham.

Cover with the remaining noodles.

Scald the milk (heat until just before boiling).

Slowly add the scalded milk to the well-beaten eggs, while beating constantly.

Add salt and pepper to the milk and egg mixture and beat well.

Pour the milk and egg mixture evenly over the casserole layers.

Bake in a preheated oven at 350°F (175°C) for about 1 hour, or until a knife inserted into the center comes out clean.