Does the egg come the butt or the vagina?

The chicken egg comes from the VENT. The Vent is a dual purpose exit for both eggs and feces. Chickens do not have a vagina. They have a CLOACA pronounced ( KLO A SA).

I will provide you a link to Chicken anatomy below. Although the eggs comes out of the same place as the hen defecates, the eggs comes out perfectly clean,nearly sterile with a coating on it to help protect the possible chick inside the egg. If you ever see a dirty egg it is because the egg was laid in a dirty nest not from where it came out.