The secret is that the robin made the tree. What has me believe so, is because the robin said she knows the secret best. "Because she built the—I shan't tell the rest; And laid the four little—something in it—" and Then say,"Though I know when the little birds fly about Then the whole secret will be out." You can fly out of a tree! The secret is also between the tree and the bird. This references the tree often which makes me truly believe that this is the answer.