In a medium Dutch oven or saucepan, over medium low heat, melt ½ cup butter.
Pour cold milk into the pan, and stir to combine.
Add sugar, stir, and then remove pot from heat (milk mixture should be lukewarm).
Next, add yeast and stir well.
Put on the lid and let sit for 15 minutes. Mixture will be nice and bubbly.
Pour whisked eggs and salt into the pan. Stir to combine.
Add flour, a little at a time, stir, add more flour, and repeat until all the flour is in the pan.
Cover and let rise again until the dough has doubled in size, 40-50 minutes.
Place dough on a lightly floured surface and knead a few times.
Take a little ball of dough and it should weigh about 2. 5 ounces.
Add some jalapenos and shredded cheese into each dough ball. Tuck the dough in and the bottom a few times and pinch the bottom to seal. Top of the dough should be smooth.
Place each dough ball into a deep 9x13 baking dish that has been sprayed with non-stick cooking spray.
Repeat with the remaining dough. Should make about 20 rolls.
Place a kitchen towel over the top of the baking dish and let rise for 45 minutes until they double in size.
Preheat the oven to 350 degrees.
Place the baking dish on the center rack for approximately 30 minutes or until golden brown.
Remove from the oven and brush the tops of the rolls with melted butter immediately.