Dont know what to suspect as we are new to this. Maybe its an infection, vent gleet, prolapse ... She is eating, drinking and acting normal. She has discharge from her vent and it looks inflamed. We gave he a bath with epsome salt and tried to clean with a little dawn.Why do you suspect being egg bound? An eggbound chicken will walk upright like a penguin and pulsate their tales up and down... they almost look constipated. Can you provide some symptoms this hen is displaying? The hen in the pictures looks too have vent gleet.