#1 It is more normal for a baby to feed every hour or less than to go 2-3 hours between feeds
#2 She isn't going to take a bottle from you, don't even bother trying anymore. If you want to find out if she takes a bottle leave her at someone's home (your mom or whatever) with the bottles. She will more than likely take the bottle.
#3 You don't say how old she is, but obviously she is at least 3 months. It is completely possible for a breastfed baby to 8-10 hours without food at that age. Not all do but some breastfed babies do sleep that amount of time without feeding. If a baby can go that long during the night they are equally capable of going that long during the day as long as they are allowed to make up for it at night. This is called reverse cycling and many moms who have difficulty pumping encourage their baby's to do it.
Reverse Cycling
http://www.kellymom.com/bf/normal/reverse-cycling.html
Pumping & Bottle Feeding
http://www.kellymom.com/bf/pumping/index.html
http://www.kathydettwyler.org/detsleepthrough.html
Human children are designed (whether you believe by millions of years of evolution, or by God, it doesn't matter) -- to nurse *very* frequently, based on the composition of the milk of the species, the fact that all higher primates (Primates are the zoological Order to which humans belong, higher primates include monkeys and apes) keep their offspring in the mother's arms or on her back for several years, the size of the young child's stomach, the rapidity with which breast milk is digested, the need for an almost constant source of nutrients to grow that huge brain (in humans, especially), and so on. By very frequently, I mean 3-4 times per hour, for a few minutes each time. The way in which some young infants are fed in our culture -- trying to get them to shift to a 3-4 hour schedule, with feedings of 15-20 minutes at a time, goes against our basic physiology. But humans are very adaptable, and some mothers will be able to make sufficient milk with this very infrequent stimulation and draining of the breasts, and some children will be able to adapt to large meals spaced far apart. Unfortunately, some mothers don't make enough milk with this little nursing, and some babies can't adjust, and so are fussy, cry a lot, seem to want to nurse "before it is time" and fail to grow and thrive. Of course, usually the mother's body is blamed -- "You can't make enough milk" -- rather than the culturally-imposed expectation that feeding every 3-4 hours should be sufficient, and the mother begins supplementing with formula, which leads to a steady spiral downward to complete weaning from the breast.