Lethargic, bluish comb, & no eggs
Can you post a photo of her?
Is she having trouble breathing, you mention you keep checking for breaths, a blue-ish comb can be a sign of not enough oxygen.
How does her abdomen feel, is it soft, hard, feels like a balloon or filled with fluid?
When was the last time she laid an egg, have you felt inside her vent to feel for an egg?
What does her poo look like?
Continue to try to get fluids in her.
Poor girl. She looks very sick.
You may need to try some antibiotics to see if that will help.
Baytril or enrofloxacin may be a good choice at this point in time. I think you should be able to find one at the feed store.