Whisk together eggs, water, salt, and pepper in a medium bowl until well blended.
Melt 1 tablespoon butter in a medium nonstick skillet over medium heat. Cook eggs, stirring frequently, until scrambled to desired consistency. Transfer to a bowl and set aside.
Spread 1 teaspoon butter over 1 tortilla and place butter side down in the same skillet over medium heat.
Sprinkle 1/3 cup cheese over entire tortilla.
Add 1/2 cup scrambled egg and 1/3 cup ham to one half.
Cook until cheese is melted, about 3 minutes.
Fold cheese side over egg ham filling, then flip quesadilla.
Cook until golden and toasted, about 2 more minutes.
Cut into 2 or 3 pieces.
Repeat this step to make 5 more quesadillas.
Ham, Egg, and Cheese Quesadillas · Dinner Match Lab | Dinner Match Lab