First do a cloacal exam,try and determine if she is actually egg bound b/c other issues have similar symptoms. Put on gloves w lubricant and insert finger into vent,see if you can feel an egg or broken egg.
If you feel an egg,then give her the tums or calcium tablet or liquid calcium. You can do a warm water soak for 30 minutes if you want,but i never recommend water soaks on birds that are lethargic/stressed/clearly ill as this can push them over the edge. Keep her warm,reason when birds are ill/injured they cannot regulate their body temp,keep her quiet/calm and in a dark location to pass egg.
You can lubricate vent externally and internally if you know she is egg bound,i recommend any personal lubricant such as K-Y personal lubricant or similar product,the reason that oil is not recommended is that it can go rancid and if you would not use it internally on yourself then it should not be used internally on hen. With this being said i realize that in emergency situations oil maybe the only thing that is on hand and many have used it safely.
Green poop is usually from not eating enough food,does she have any crop issues? Has she been eating/drinking? How long has she had green poop?