Not sure if this will work for an eggbound hen as I haven't had that happen yet but it worked amazingly well with my BO that prolapsed. Grab a couple latex gloves and a jar of honey. Separate some of the honey into a bowl, then have another person hold the hen tail side facing you (like a football). This is going to be messy so you'll have to wash her afterwards. Put some honey on the end of one finger and spread it around the vent and stuck egg to lubricate it. Hopefully, it will unstick the egg and you can remove it. Be extremely careful though, if the egg breaks I don't think there's anything you can do for her. If you are successful removing the first egg, try to get the other one out as well. The honey will serve as an antibiotic and she prolapses as a result of getting the eggs out, it will help push things back in. Good luck and keep us posted!