Oh dear! I completely get that you want to move on from this but I can see how difficult it's going to be. Your DC doesn't need to be nursing all night, it's just a habit for her. She's quite happy with what's happening and will create an almighty fuss if you try and change things.
You will all benefit from having a good night's sleep, so don't think that what you're planning is cruel. Your daughter needs unbroken sleep just like the rest of you.
I'm sorry to say I don't think there's an easy way of doing this. I think you have to introduce a new routine, with tea, a drink, bath, teeth, story and into bed. Stick to this religiously as children feel safe if they have a routine and know what's coming.
Has she got a nice cot, with new duvets and perhaps some new soft toys? Make it really special for her.
When she goes into her cot, tell her it's sleep time and that you love her and then leave her. She will scream and scream, and might even be sick. So be prepared. After five minutes go back in, don't look at her, just say it's sleep time and come out again. This shows your DC that you haven't abandoned her and that you are still around.
You might have to do this 50 times or more the first night but eventually she will fall asleep. If she wakes in the night, repeat the going in thing.
Most children will settle into this new routine after just a few days. This is really tough love and you will feel awful. The good news is, it works and in fact I think it's the only thing that does work.
Don't bother trying this if you aren't prepared to follow it through. We did it with DS and I felt truly dreadful but it worked. Once we were all having a good night's sleep, life suddenly became so much better.