Sadly sprout44, I have to say I agree with LondonZoo. The evidence is in everything you have written.
My daughter, between the ages of 14 - 24 was a real challenge... she pushed every boundary imaginable with some brow raisingly, shocking tactics.
I like to believe that we all, whatever age, should be able to learn from our own mistakes - and Oh yes, we do make them throughout life. Sometimes however, for some people, that is not possible until they are removed from the situation and are able to look back, with an open mind!
Don't allow the looking back to be with regret and sadness.
It is doubtless that she 'already' knows how you feel and is also taking it out on your other 'darling daughters' because she is jealous of the positive attention, love and affection that you give them.
I know it's hard, and it's hard having to be the adult that should know better than our children and how to deal with negative situations in a positive way.
I can tell you, through experience, that the massive weight you feel at present... and hers... will immediately be lifted if you sit down with her, without distractions, and ask her how she feels about your relationship. Keep your mouth closed and your ears wide open. Accept what she is saying, it is how she feels and I cannot believe that you don't want to know that.
If you have the ability to stand outside & look in to admit that there is some (or a lot ) of truth in what she tells you - Apologize!
Tell her you love her with all your heart, that you are so proud Of her and that you're sorry if you have given her too much responsibility for not being your idea of how your daughter should be.
Tell her that this difficult relationship makes you feel really sad, rather than be angry and that you have failed her as much as yourself.
Just watch what happens next!
After she has picked herself up off the floor, she will feel humbled, and maybe even a little respect, that you have been big enough to admit you have been wrong!
Now give her the love and respect that you admit a lot of other people are happy to give her and turn this thing around.
Take care of all 3 of your girls, don't be so hard on yourself, take a step back, lead by example and they will unconsciously follow. X