I'm not certain I'm fully understanding your question, but it sounds like you're saying you have suggested to your daycare provider to only feed your daughter one bottle in the morning, one around lunch, and then you feed her one in the evening sometime. Without knowing exactly how much and what she's getting for solids, and knowing that she's getting about 2 to 3 bottles a day, to me, it seems like she may not be getting enough for her age.
If you also consider she's been sick, she's probably also severely dehydrated as even with non-intestinal related illnesses, dehydration can be a big problem...so to answer your question, she is probably not getting enough liquids during the day, and may very well not be getting enough to eat either and is over compensating at night. One big issue to be concerned about is that sometimes if a child goes too long without being fed, they'll begin to refuse food because their stomach will shrink and be unable to handle large amounts of food. Don't quote me on this, but I believe doctors call this "starvation mode." It something that happens when children/people don't get enough to eat over a long period of time. It's very common in undernourished children in third world countries where food is scarce, but it isn't unfamiliar here in unusual circumstances such as undiagnosed illness etc.
I'd take her to her pediatrician or at least call and let them know you suspect she might be having problems with dehydration and want her to get checked out. Explain what you've detailed here and get a professional opinion on what to do. Stress to them that she's not eating as you think she should and even note whether she's losing significant amounts of weight, or even beginning to act unusual such as listless or extra fussy.
In the interim, I'd recommend being less regimented in when, what, and how many times you are feeding her and have your daycare provider/mother feed her on demand versus on a schedule. Short of her having some sort of health issue, this is the best way to ensure she won't get dehydrated or undernourished as she's now in the months where she'll really take off in growth and development. She needs all the nutrients she can get to keep her immune system strong and aid those soon to be expected growth spurts. And with flu season looming, liquids will be more important than ever.