Place fingerling potatoes and salt in a large saucepan with enough cold water to cover generously. Place over high heat, and bring to a boil. Reduce to a simmer, and cook until potatoes are tender, about 15 minutes. Remove pan from heat, and drain potatoes in a colander. Transfer potatoes to a platter; set aside.
Place goat cheese and buttermilk in a heat-proof bowl or the top of a double boiler, and place over a pan of simmering water. Warm mixture, stirring until it is very smooth, 5 to 7 minutes. Remove from heat, and stir in pepper, chives, thyme, tarragon, and parsley. Place in the bowl of a small fondue pot or in a warm serving bowl; serve immediately with fingerling potatoes garnished with chervil.