Ending middle of the night nursing

I've decided to continue the weaning and eliminate night time feedings. For the last week or so I let Babygirl nurse for four minutes and now we are on three minutes. She is taking it very well. By the end of the first week she was unlatching herself around the four minute mark. However, it's been disruptive to my sleep and I am frequently overtired. Did I mention I am frequently overtired? I'm glad it's easy for her and more importantly it means she's ready.