Golden Egg #14 is located in Level 1-9: Fling a bird backwards towards the bottom left part of the level (off the screen). After you hear an explosion, you’ll see the Golden Egg appear on the far right hand side of the level. Be sure to zoom out. (→ see image)
Note, this is a two part video. The first part shows how to find the Golden Egg and the second is a walkthrough on how to pass the actual Golden Egg level.