@alinas2010 I'm glad to hear your Lady is improving!
@Accidentalhomesteader do you have a thread about your pullet? I don't see one.
Photos of all of her would be good including her feet, how she stands.
What does the swelling around her eye feel like? If you open the eye, is it intact, is there pus, bubbles?
Looks like she has some dirt or mucous around her nostrils, have you noticed a discharge, coughing, sneezing, etc.?
Look inside her beak too for any mucous, lesions, etc.
I'd flush the eye with saline, press out the pus and then put the Terramycin in the eye.
Clean her nostrils and see that she's eating/drinking well. Is the other eye clear and looking good?
Could be respiratory illness like Mycoplasma, but it would be hard to know. Testing can be done through your state lab or an independent lab.
You can try giving an antibiotic like Tylan/Tylosin to see if her symptoms improve, but it would not make pus in the eye dry up, that has to be physically removed.
Here's some reading about poultry diseases and carriers
https://edis.ifas.ufl.edu/publication/ps044