Lightly grease the sides of a slow cooker and add butter to the bottom.
Whisk eggs slightly. Add half and half and salt and whisk until well combined.
Pour egg mixture over the butter and stir to combine. Cover and cook on high for 30 minutes.
Uncover and stir gently and cook for another 25 to 30 minutes.
Uncover and stir again to break up and form any smaller curds. Cover and cook 15 minutes more.
Uncover and stir in cheese. Cook, until just set or until cheese is melted. Sprinkle with pepper, stir and turn off heat, and cover to keep warm.
