Thank you so much for you words of support and tips. It's great to hear that Livvy isn't the only baby doing this so I know that I'm not doing everything wrong.
Last night we were really firm with her. Poor little munchin. She woke at 1am, gave her her dummy, 1.30am DH gave dummy, 4am me dummy, 4.30am DH gave dummy, 5am settled herself before I got to her room (YAY!) and up at 5.45am for a feed. So even though we were still up 5 times it was a huge improvement on the previous night. We are just going to keep perserving and see how we go but we are going to try and develop a routine that will hopefully make it all a bit easier. I would love to be able to co-sleep and feed her but because of my small bb's and having to use a shield I can't feed her in bed. We can't get a position that works for us. Wish I could though. Those cold mornings are killers.
Thank you all so much for your help, again.