Beat eggs and sugar together until
fluffy. Stir in coconut and butter.
Drop dough by spoonfuls onto
non-stick baking sheets, about one inch apart. Bake for about 10 minutes.
Cool on wire racks.
Melt chocolate and shortening
together in microwave on high for 1 to 2 minutes, stirring
every 30 seconds. Drizzle over cooled cookies. Store
in tightly sealed container.