For what it's worth, my daughter did this and didn't start sleeping completely through the night until she was right just over a year old. I just felt in my gut that she was hungry and would eventually give up her night feedings when she was getting enough during the day and when she was ready and I was right.
She gradually dropped out the feedings starting with the early morning ones first. At about 10-11 months, she was only waking up around midnight and nursing. Lots of people told me that she didn't really need the milk, she just wanted the comfort, but she ended up dropping the feedings gradually and this just worked for us better than trying to do sleep training or CIO. She always got enough hours of sleep for her age total, she just woke up (like yours, she was half asleep) to nurse. She always went right back to sleep. She has always been a pretty good sleeper and easy to get down at night, so I was hesitant to do anything that would make sleep more traumatic for her. For me, the brief nursing sessions were less of a disturbance to my rest than going through the graduated crying that would have been involved in CIO or another method.
Just after she was a year old, she dropped the midnight feeding and now regularly sleeps from 8 at night until 7 or 7:30 in the morning. The only times she doesn't are when she's got a cold or when she's awakened by feeling cold or a wet diaper or something unusual like that.
I should note that around 10 months, we did start gradually replacing nursing sessions during the day with a bottle of formula (after her first birthday, we started adding cow's milk). My goal was to get to a point where we'd just nurse first thing in the morning and then at night. She was still nursing or taking a bottle about two or three times a day in addition to eating solids for breakfast and lunch. At 13 months, she sort of abruptly (within about two weeks) weaned and wanted only the bottle (I do think my supply was reduced by supplementing during the day, so she wasn't getting the full amount she wanted from me). It was also around this time that she started routinely sleeping straight through. So, I don't know if it was a combination of the weaning and the milk or more calories or what, but this is what worked for me.
Obviously, this course is not something every mom or baby would want or be happy with. Some moms may not want to supplement or wean that soon. Also, some moms might be driven insane and pushed to the edge by getting up through the night for so long. If continuing to get up wont' work for you, I think it's completely valid to do sleep training to get her to sleep longer at this age. I found sleep deprivation to be one of the hardest parts of being a mom, and, if I had been working an outside job during this time, I don't think I would have been as able to keep getting up with her. At this point, you need to do what's best for both you and her, whatever that is.
I just wanted to say it was what worked for us. I get really sick of hearing people say that if you don't CIO or whatever, then the kid will *never* sleep through the night or have bad sleep habits. I think you have to take medical advice seriously, but you also have to rely on the fact that you know your child best. There is no one-size fits all, especially when it comes to nursing and sleep.