Thanks guys. I'm 98% positive I know who is laying the egg. I have her separated today while she lays. She was in the nest box when I checked a bit ago and was just singing the egg song, so I went to check and she hadn't laid yet. Silly girl.
I love my hens and take good care of them, but at the end of the day they are livestock. We need to cull down our hens anyway and as soon as I know for sure who is laying the weird egg, we will probably add her to the cull list. We are slowly transitioning from chickens to ducks and we have some chicks that will be laying soon. We don't want to over crowd them, so we need to make some room. Such is the circle of life I suppose.