A cobbler is a type of dessert that has fruit (apple or berries, for example) that are baked into a cake-like batter or topped with a biscuit topping.  A crisp and a crumble are a little harder to distinguish. They are both used to describe a fruit dessert that is covered with a crumble streusel-type topping. Some people debate that a crumble topping contains nuts but no oats. Other people argue the opposite – that a crumble includes oats and nuts, while a crisp topping only includes flour and butter.