Combine peas, water, butter, 1/4 teaspoon salt, and pepper; bring to a boil. Reduce heat; cover and simmer 15 minutes. Set aside.
Combine flour, baking powder, and 1/4 teaspoon salt, mixing well. Add eggs and milk, stirring with a fork until dry ingredients are moistened.
Return peas to a boil, and drop batter by tablespoonfuls into boiling peas. Cover immediately; reduce heat, and simmer 10 minutes.