My first son, now 3 1/2, was similar. Towards the end of his first year, he was still getting up at least at 3:00am every night. It is very difficult.
Here's some suggestions. First, DO NOT give up night feedings. I know many people will disagree with me, but I tried the rock and soothe method of getting my first son back to sleep for several weeks around 6 months or so when everyone was telling me that I got him into the habit of wanting a bottle at night. After 45 mins of fussing and crying, I'd give in with the bottle. Once I realized that it was either 45 mins of crying or 10 mins of feeding, I chose feeding for my own sanity. Ultimately, he started getting up less frequently. In retrospect he was truly hungry.
Second, make sure your daughter is getting enough sleep during the day. I know it sounds backwards, but she could be so overtired that she is not sleeping well at night. Again, I would keep my first son awake during the day in the hopes he would sleep through the night - it didn't work. In fact my second son who is 3 months now, sleeps for long periods during the day, and is already sleeping through the night (9pm-5am).
Third, feed her every two hours during the day by using smaller amounts of food and formula that would total more than what she currently is getting. If she gets enough calories during the day, she may be less likely to catch up at night.
Finally, she may be uncomfortable. Since she hardly sleeps during the day and is up all night, this may be the main culprit. Maybe she has milk allergies and needs a different formula. Or, maybe she has reflux (not all reflux shows itself with spitting up). Just like adults, she may be getting heartburn symptoms and can not yet let you know about it. Again, my first son had horrible reflux, but rarely spit up. His reflux caused him to get frequent ear infections and ultimately tubes in his ears.
You could also try Mylecon gas drops - they are safe enough to give every feeding.
Good luck and hang in there. You will either find something that works or she will outgrow it sooner than later.