Ash, I'm terribly sorry to hear about your chick. I just got baby chicks for the first time and am having the same problem - came across this thread in a search. I've done a ton of reading and been on the phone with the hatchery and I'm doing everything I know to do, but she seems to be declining over the course of the day.
Chicks were mailed yesterday from CN. Picked them up at 9am this morning (It's 2:45pm here now). One was clearly not doing well out of the box. She just lies down with her butt down and her head on the ground - kind of face-planted into the ground. She can stand up for a little bit if I disturb her, but she has not taken more than one or two steps on her own. If I pick her up and put her back down, she will stand for a minute or so and then lies down again in the exact spot I put her. I'm keeping her spot right at 95 degrees, since she won't move on her own. She does chirp and occasionally picks her head up on her own, but I haven't seen her take a step since 10am.
She is in a separate container from the other chicks, since they were pecking at her.
She has not had any water on her own. I've been dipping her beak into sugar water a few times every 30 minutes, and I *think* she's getting a little each time, but it doesn't seem to be making a difference. She has not had any food. She won't eat chick starter or crumbled egg yolk or mealworms or anything I've tried to feed her.
I cleared a blockage from her vent first thing when I got her this morning and a whole lot of poop came out then. Her vent seems to be clear when I check now, but she has not pooped again since then. (I think the other chicks have pooped at least 5-8 times each since then. I've already had to change the towel I'm using as bedding.)
The chicken people said that the yolk should sustain her until Thursday morning. I'm checking her vent and dipping her beak in sugar water every 30 minutes and trying (with no luck) to feed her every hour or so. If anything, she seems to be declining. It's real sad. Any help would be greatly appreciated. I don't know what else I can do.