Sounds like you need to try the Ferber method and let her cry a little. I was totally against letting my son cry until he started getting up every hour at night when he was 6 months old. I finally got to the end of my rope and had to resort to the Ferber method. In two or three nights he was sleeping the whole night through. Now, naps took a little longer to work out, but nighttime sleep is the most important for everyone in the house.
Since she is 9 months old, she definitely doesn't need to be nursing at night anymore. It might be a hard couple of nights for you, but it will be worth it all when everyone is well rested. Also, put her to bed earlier like around 8:00pm. I know it seems like she should sleep longer if she goes to bed later, but often that has the opposite effect. I know with my kids it seems the later they get to bed, the earlier they get up.
As far as napping goes, you might want to set a regular schedule if that would work for your lifestyle. She should be taking 2 naps. Probably around 9:30 -10am and then again at 2pm or so. If you can put her down at the same time everyday, she will soon be accustomed to sleeping then. And, I would try to nurse her when she gets up from the nap, not right before. If babies fall asleep nursing, they usually don't sleep as well because they will wake up and think they should still be nursing and cry.
I know it is so hard when you are sleep deprived. My mom always said, this too shall pass. You need to help her get on a schedule. The sooner she knows mom is in charge, the better!
Good luck!
J.