Vent gleet just means that they have fluid leaking out of their vents. It can be cause by parasites, bacterial infections or fungal infections. Can you take her to a vet?
-Kathy
This link explains how I check for an egg and how if treat egg binding:
https://www.backyardchickens.com/t/1048620/how-to-provide-emergency-and-supportive-care-updated-1-3-2016
-Kathy
Be sure to melt the end of the hose with a lighter to make the edges smooth. Sharp edges can damage their mouth, esophagus and crop. get yourself a large syringe, 'cause using an eye dropper will be too difficult to get the proper amount of water in her. Tube warmed fluids at 10 ml per pound...
From:http://www.hopkinslivestock.com/oral_dosing_article.htm
The hole at the back of the tongue is the trachea - Nothing should ever go in there!
How To Crop Feed Your Bird Diagram
-kathy