Combine Greek yogurt and flour in a large mixing bowl.
Add grated turnips, grated cheese, salt, pepper, nutmeg, thawed hash browns and optional chives (reserving some chives to spinkle on top when you serve).
Spread into greased 13 x 9 baking dish.
Bake at 400 F degrees for 30 minutes.
Remove dish from the oven, and make 8 indentions in the casserole with the back of a wooden spoon for your eggs.
Crack 1 egg into each indention.
Bake for about 8 more minutes until egg whites are firm or up to 12 minutes if you don't want your egg yolks runny.