Your last post rang minor alarm bells for me about girls with aspergers - it was the "more interested in setting up play than the actual playing", particularly in combination with wanting to play her games her way... I have a girl with Aspergers and she doesn't play "normally" and it has caused some problems.
I read it that way too. There is a difference (and a hard one to sort out sometimes) between people who are introverts with usable social skills, and those who cover up for social skills deficits using introversion as a way of not interacting.
Mountain, there are a few things in your description that sounded like your DD doesn't have the skills to play the way other kids do. Controlling others' play is something we often see in kids with Asperger's.
Obviously, it's not diagnostic-- just one thing to consider.
DeeDee