I've learned a lot from this thread and I want to thank *everybody*! OP for sharing what has obviously been a stressful situation... I won't remember who said what, unfortnately, but ... I will start washing my eggs in the bleach- Dawn- warm water solution instead of just under warm running water and wiping with a wet paper towel after this. I know this removes the wax coating but neither I nor my customers are saving them for months and months nor for hatching, so it doesn't really matter ... they are usually pretty clean anyway but once in a while you get that poopy egg, y'know... for whoever pointed out that all chickens have this bacteria in their stool and reminded us of the importance of handwashing ... and I want to just remind everyone to check and wash the bottoms of your shoes or boots after being in the chicken yard or coop; we always hose off before coming in the house.
OP, I wish your children well and thank you again for posting this.