Hi there, this is Dr. Elaine.
It sounds like Laura has prolapsed her cloaca, which is the outlet through which urine, feces, and eggs all pass in common.
Hens in lay can experience egg-binding, calcium drain (which can lead to weakness in the muscles of the tract), even severe diarrhea which causes excessive straining.
This is a medical emergency, as the tissue can continue to prolapse further until actual intestines do protrude. Also, the exposed tissue is going to become infected, dried, and none viable the longer it remains out, meaning instead of being able to replace it inside her, it will need to be excised.
Many veterinarians (not necessarily bird specialists) can do this on an emergency basis, but call first so as not to waste time.