Her stance is definitely that of being egg bound. Our mission is now clear. Yes, it would benefit her greatly to get some sugar water into her.
I wrap the chicken in a towel to calm her. I have the water, warmed slightly, ready and an oral syringe. I reach around with my weak hand and pry open the beak by sticking a nail into the beak. I load the syringe and insert it on the chicken's right side of the beak. Then going slightly under the side of the tongue, insert it directly into the esophagus and push out the water.
When you feed the water directly into the crop via the esophagus, there isn't any need for her to swallow. So keep the beak open and continue to feed the water to her until you get at least a fourth of a cup into her. Do it again in about two hours.