Griddled Sausages With Potato And Carrot Salad

Name: Griddled Sausages With Potato And Carrot Salad
Ingredients: 16 baby carrots; 3/4 pound small red potatoes, sliced 1/8 inch thick; 1/4 cup plus 3 tablespoons extra-virgin olive oil; 3 tablespoons fresh lemon juice; 2 tablespoons chopped capers; 1 tablespoon chopped dill; 1 tablespoon chopped chives; Salt and freshly ground pepper; Four 6-ounce fresh rabbit or poultry sausages; 2 tablespoons grainy mustard; 1 tablespoon sherry vinegar; 1 tablespoon minced shallots; 1 teaspoon chopped thyme; 1 tablespoon unsalted butter