Dissolve yeast in 1/3 cup warm water in a small bowl.
Cream sugar and shortening in a large bowl until light and fluffy.
Add potatoes, egg, yeast mixture, Italian seasoning, salt, 1/3 cup water and 1-1/2 cups of flour and beat until smooth.
Continue adding remaining flour until a nice soft dough is formed.
Shape dough into a ball without kneading and place in a greased bowl.
Turn dough over in bowl to grease the top.
Cover bowl and let dough rise until almost doubled, approximately one hour.
Grease a 9x13 baking dish.
Divide dough in half and shape each half into 7-8 balls for a total of 15 rolls.
Place rolls in baking dish, cover, and let rise for another 30-45 minutes.
Bake at 375 for 20 minutes or until golden brown.
Remove from baking dish and let cool on wire rack.
Yields 15 rolls.