Bring water and salt to a boil; stir in grits.
Cook grits until done, following package directions.
Remove from heat, and add next 4 ingredients; stir until butter and cheese melt.
Add a small amount of hot grits to eggs, stirring well; stir egg mixture into remaining grits.
Pour grits into a lightly greased 2-quart baking dish.
Bake at 325° for 1 hour.