Sorry you had a bad night, you must be SO tired!
It is good she likes to sleep in her crib! Falling asleep in your bed/arms is not a habit to encourage if your aim is independent sleep.
She falls asleep quicker if you're not there? Really in 2 mins? I don't think that is CIO. I'm sure someone will correct me if I'm wrong but I believe Tracy would say don't rush in, wait for a min to see if she really needs you or if she can settle on her own. CIO is leaving her to scream for a good while. My dd has just woken up at 9pm, for no reason I can think of, I've just come upstairs to listen (while I type to you) and she has got back off to sleep with no intervention, but she has been noisy for a few mins. I really don't believe that was CIO, just giving her a chance to settle herself. If she was escalating, or cried for a while, I'd go in, of course. Is your dd coming into her light sleep and crying to get herself off again?
Sorry the cluster feeding is not useful to you. I'd be interested in how much she takes over the course of a day. If she is overtired she'll not feed well in the evenings, just a thought.
hope some of this is useful, if not at least you know someone is thinking of you!!!