Hi J.,
I have 3 kids- a 6 year old boy, a 16 month old boy and an almost 8 week old girl; each one has different sleeping habits and we co-slept with each child.
I thought our first had terrible sleeping habits. He refused to breast feed. As he woke up every 2 hours even on the bottle and he always seemed hungry, we gave him cereal at 2 months which helped him sleep an extra hour. As he was such a light sleeper, we put him in a crib at the foot of the bed when he was 4 months old. After two more months of terrible sleep (every time we turned over he would wake up) we moved him into his own room and soon afterwards he was sleeping through the night (albeit with a bottle). We put on soothing music for him everynight when putting him down with a bottle and that worked well.
Our second has proved the one with the most sleep issues- something I didn't think was possible. Sometimes he sleeps through the night but even at 16 months he usually wakes up at least once a night. He is now a very picky eater. I breast fed him until he was 11 months (I unknowningly got pregnant with our 3rd when he was 5 months old) and started him on solids at 6 months. If I am able to get him to "stuff" him full of something with lots of protein or carbs before bed and give him a bath with lavendar bath bubbles, he will sleep through the night. When he is being really picky about not eating and if we skip the bath for any reason he wakes up at night. Also the more active he is during the day the better he sleeps at night. Swimming seems to have been the biggest success so far. We put him in his own room & crib at the same time I stopped breast feeding and that seemed to work well for him. He never slept through the night while breast feeding even when he was breast feeding and eating really well during the day. Now we give him a bottle of half milk half warm water and his monkey, wave goodnight to everyone making the whole process exciting and cheerful and then put him down in his crib and shut his door. If he cries even after I give him a bottle and change him, I go in without making eye contact, without turning on lights or saying anything, hold him with his bottle for a minute until he is calmed down and put him back in his crib. Sometimes it is clear it is his teeth and I give him baby motrin which really helps.
We co-sleep with our 3rd still (at 8 weeks) and she is breast fed. I feel blessed that she only wakes up once or twice a night already! But with her waking up to feed once or twice and then having to get out of bed to make a bottle for my 2nd once or twice, I still get no sleep. I am going to try to transition her to her own crib in a week as she is already rolling around and kicking me and disturbing my sleep even more.
I know you said she isn't hungry at night but maybe try stopping the breast at the same time every night, give her a relaxing bath and just before you put her to bed give her something to eat.
You could even try pumping breast milk and giving her a bottle when you put her down. (my step-sister-in-law has had massive success with her two kids with this method getting them to sleep through the night before a month's age but I don't have the patience to pump even with a great electrical pump). Then slowly change it to milk and water until it is just water (to save the teeth).
For those who say never do this, never do that- I can tell you I know people who have done it every different way you can think of and each family and child is different so you have to try what you can and pray it works! Go with your gut and tell everyone who says 'this is the only way to do it' to bugger off:)
Good luck!