Well, there is possibly a quick fix, but it involves crying, as others have said. You sound utterly desperate and I have been there so I do sympathise.
Does your baby settle herself at all (e.g, at the beginning of the night?). If so I am not sure whether what I will suggest will work. If the problem is she can't self-settle, then likely the following method will work, but it will be very difficult for you and for your baby, but you might feel that it's worth it (I did) to hold onto your sanity.
Before bed/ naps, feed your baby, put her in her cot, don't leave her alone if you don't want to, - you could pat her or stroke her. She will probably cry herself to sleep and it will probably take a good long time - e.g., 2 hours. But you will be there with her.The next time you do it, it should take a bit less time, and the third and fourth times less time still. What you need to aim for eventually IME is her settling herself in her bed without you being present.
I did this with DD - she was a feed-to-sleeper and woke so many times I lost count. I had PND which didn't help. I used the above method (which is actually at the end of the No Cry Sleep Solution -'w hen all else fails' bit) and my DD has been a far better sleeper ever since.
I really think some babies are so persistent and so habitual by nature that crying methods are sometimes necessary. Others will disagree I am sure but if you are clearly desperate.
No Cry Sleep Solution is a good book, that's why lots of people have recommended it, if you don't fancy the crying route.
Before you tackle the sleeping issue, I would a) go out and buy some wax earplugs b) give the baby to your DP or someome else, like a grandparent for the whole night and c) retreat to either a quiet bedroom or failing that, a local hotel. Seriously.