Add ¼ cup of warm water to a bowl (do not use hot water, heat if needed and then let it cool!) dissolve 1 teaspoon of sugar into the ¼ cup of warm water at 110°F-115°F. Stir in 2 ¼ teaspoons of dry active yeast. Within minutes the yeast SHOULD be bubbling, foamy and activating. If it's not doing anything, you will need to toss that packet of yeast and use a new one.
In a stand mixer or with a hand mixer, cream room temperature butter and sugar. Add egg and egg yolk, warm milk (make sure it's not too hot just warmed) and mix for a few minutes. Add in proofed (activated) foamy yeast mixture.
Pour in flour and salt. Mix for 5-7 minutes. The dough will start to form and will no longer stick to the sides of the bowl, Add 1-2 Tablespoon of flour, if needed and the mix is too sticky.
Cover bowl with plastic wrap and set aside to rise in a warm place until double in size, about 1-2 hours. You can also set the oven to 170º (or lowest temp allowed on the oven) and place the dough in there for 45 minutes - 1 hr. Make sure it is still covered so dough doesn't dry out in spots.
Once the dough is doubled in size, cut out about 7 pieces and roll with palm on a clean surface. Fold the corners together to form a smooth ball. Place in a 9" cast-iron skillet or similar style baking dish. They should be close together to ensure the rolls rise upward and form a proper shape. Once assembled in baking dish or cast iron, cover it again with plastic wrap and let them rise 30 minutes -45 min more while you make the butter. Preheat oven to 350º when they have risen once more.
In a small bowl, melt leftover butter and add minced or pressed garlic to the butter. Add a pinch of salt and about ½ tsp Italian seasoning. Brush the rolls lightly with the butter, place in the oven and bake for about 15 - 18 minutes. Keep a close eye on them, each batch is a little different with browning!
Once the rolls are fragrant and browned on the top, pull them out and brush them with the butter until butter is gone and soaked into the rolls. Sprinkle with fresh parsley, parmesan and enjoy!
