Peachy Bread Pudding

Name: Peachy Bread Pudding
Prep time: 20 min
Cook time: 1 h
Total time: 1 h 20 min
Cuisine: European
Ingredients: 3 whole Eggs; 3 Tablespoons Butter, Melted; 2 Tablespoons Vanilla; 2-½ cups Half-and-Half Or Milk; 2 cups Sugar; 2 cups Fresh Peaches, Pitted And Diced; 1 pound Sourdough Bread, 1" Cubed; ½ cups Pecans, Chopped (optional); _____; ½ cups Butter; 1 cup Sugar; 1 teaspoon Vanilla; 1 whole Egg; 3 Tablespoons Rum, Or To Taste