I would recommend to talkit over with the pediatrician first before trying anything else. My little one was a bit of a difficult sleeper at times and I found out that the longer he sleeps during the day the better he slept at night. If he took short power naps he would be up most of th enight. Try putting her to sleep during the day and since is day, you don't have to be in the room and that will teach her to go back to sleep. Extreme training works, but is difficult on all of you. Basically what they do is to let her cry and come back to her after 10 minutes at first, then 20 minutes, etc. In the mean time, she is crying, probably so are you, and everyone else at home is awake with her crying.
Can you get some help so that you can get some sleep?
Good luck
Maria