Peel turnips and quarter or chunk.
Place turnips in a large kettle or stock pot; cover with water.
Add a teaspoon of salt and if desired, 2-3 tablespoons of granulated sugar. (See note below).
Cover with lid and bring turnips to a boil.
Boil turnips until tender – about 15-20 minutes.
Drain turnips in colander then mash with a potato masher until smooth.
Meanwhile, in a small saucepan, cook and stir the butter, cheddar cheese, half-and-half, remaining one teaspoon of salt, garlic powder and parsley and if desired ½ tsp. fresh chives until smooth.
Remove from heat; set aside.
Once turnips are mashed, stir cheese mixture into the drained, mashed turnips.
Fold beaten eggs into the turnip mixture.
Use a rubber spatula to get all of the beaten eggs into the turnip mixture.
Pour mixture into a greased 3-qt. casserole dish.
Bake, uncovered, at 375° for 35-40 minutes or until puffy and golden brown.
Sprinkle with fresh chives, and if desired, additional dried parsley or other seasonings.
Serve immediately.