Preheat oven to 400°. In a large bowl, combine apricots, brown sugar and ginger. Divide among four greased 8-oz. baking dishes.
In a small bowl, combine flour, brown sugar, oats and coconut. Cut in butter until mixture resembles coarse crumbs. Sprinkle over apricots.
Bake 15 minutes or until filling is bubbly and top is golden brown.
