G.B.
I would say at this point she may do better seeing an ORL physician. They are specialists in the eyes, ears, nose and mouth/throat. Four ounces a day in not enough fluids for a small child. I would say 24 ounces is a much more acceptible amount. I have been dehydrated this past month with bronchitus and told my doctor I was thinking about adding Gatorade and she said that it is basically flavored salt water and increased dehydration also carbonated water increases dehydration too. So if you do give gatorade to her then make sure she has enough water to offset the salt effect.
The antibiotic may be making her tummy feel yucky, swallowing may be hard due to ear pain, throat sensitivity, my taste buds get "off" when I am sick, nothing tastes good, think about when you feel like she is feeling right now.
Check on the web for ideas of things she will get more hydration out of, like the others said previously, jello, popsicles, etc...fruit is good too, grapes have a diuretic effect so I don't know if they are a good idea or not, find some things your girl likes and let her pick what she is most comfortable with.
Just a last bit of information I'd like to pass on. My youngest grandson turned 1 year old a week or so ago and I'd like to pass on his story. He was born with drugs in his system and had some of the physical symptoms like always crying, being inconsolible, etc...we didn't think anything about the crying except it was just from the drugs and would work it's way out of his system. He didn't run a fever very often and he went to the doctor if he was ill. He had a constant runny nose and would gag on the snot when taking a bottle. Around 5 months we had started noticing he didn't follow us when we were talking to him. We set up hearing screening for him with an Pediatric ORL Doctor, during the testing he didn't even respond to the bass drum being banged by his head. It was determined he was deaf.
To make the story shorter I'll skip to the part about the tubes they put in his ears. The doctor had to clean out debris for over an hour on each ear. The baby had experienced numerous ear infections that the antibiotics hadn't cleared up. The poor baby had to be in so much pain...the tubes and the cleaning worked and he can hear just fine now. He may have permanant damage but they feel he will be within an acceptible range and not have to have any devices to help his hearing such as implants or hearing aids.