There's also something there about the chicken (or lizard, or tadpole, or whatever is in the egg) knowing, instinctively (?), when it's the right time to leave the egg. Too soon, and it would be unable to withstand life in the world. Too late, and it would suffocate.
This is something I have wondered about before. If I understand correctly, in mammals, there's an interplay of hormones between the mother and the baby. When things go well (i.e. the baby is not prematurely born or miscarried), the baby's full-formedness is communicated to the body of the mother, which then responds by going into labour. But the chicken (lizard, tadpole....) must give birth to itself.
If you want drama to stop following you everywhere, try letting go of the leash.