I've seen eggs sit out unrefrigerated at farmer's markets for hours on end so Your eggs were in a cooler overnight, they are fine and if they did.
I know that it is often best to use room temperture eggs for baking. Well, I forgot about them last night and they were left out all day and night.
Will I die/get super sick if I eat them? I boiled a whole bunch last night and like a dunce left them in a pot of cold water overnight in the sink.