If the potatoes are smaller than golf balls, leave whole. If they are larger than golf balls, cut in half. Place the potatoes in the crock of a large slow cooker. Cover and slow cook on high for 2 hours, or on low for 3-4 hours.
Once the potatoes are halfway cooked, lay the chicken over the top. Add the minced garlic, herb springs, 2 teaspoons salt and 1/2 teaspoon ground black pepper. Pour the melted butter over the top.
Cover and continue slow cooking until the chicken is cooked through, 1 1/2 - 2 hours on high, 3-4 hours on low. Stir, a couple times while cooking.
ONE-STEP SLOW COOKING: If you need the entire dish to be ready in 3-4 hours, without having to add ingredients in the middle, cut the potatoes into one inch pieces. Layer the remaining ingredients over the potatoes and turn on high for 3-4 hours.