When Birdy says in the song Wings, "Sunlight comes creeping in Illuminates our skin" she could be referring to the Greek Myth Daedalus and Icarus, when Icarus goes to close to the sun melts the wax that makes his wings stay together.

When Birdy says "I just wanna be by your side If these wings could fly For the rest of our lives" and "My thoughts they slip away... Because I thought of you" she also refers to this the same Greek Myth, because Icarus wanted to Listen but his thoughts got the best of him and he didn't listen to his farther.

Again Birdy refers to this Greek Myth again stating, "Oh lights go down In the moment we're lost and found I just wanna be by your side If these wings could fly Oh damn these walls In the moment we're ten feet tall" in this text she is stating that Icarus was blinded by how happy he was, to even to get to use the wings.

In conclusion Birdy refers to many parts in the Greek Myth Daedalus and Icarus using many forms of what seems to be regret and not listening carefully to others.