Hi J.,
I've never heard of this ! My 4 enjoyed reading, and they are all good readers these days. It sounds like there's something going on "up there" in her head that she's not old enough to explain. So, I have some questions, instead of answers:
#1: Does your 11 yr old like to read?
#2: Does she somehow think she's supposed to be able to read, and is upset that she can't do it herself (like the 11 yr old)?
#3: Does she think somehow that this is a punishment? (fusing, crying, sitting in the corner ?)
I'm clueless on that end, and it sounds kind of like you are, too. But do not despair. You can TRICK her into reading with you. You have a secret weapon. Two tricks.
#1: You can sit down on the couch while she's playing on the floor and you can read the books aloud without her. All it takes is sparking a child's curiosity to get them to start learning. When she finally climbs up to look at the book with you, you can ask her what she sees on the page, and talk about the pictures. (Of course, she may think, "MY BOOK!!! Grab it, take it to the corner, and read it herself. In that case, I'd go buy a book that is yours, so you can sit on the couch and read it aloud. And she can maybe get HER book and sit and read with you. (Or you could sit on the floor and read your book aloud from the corner, too. See what happens.)
#2: The secret weapon. You have an older child. Enter the 11 yr old, duly prepped to want you to read to him/her. You two sit on the couch together, and you read a book to him/her. As long as it looks like fun, and you two are enjoying the book, my guess is your little angel will come over and want to be part of the party. So, pop her up on her sibling's lap, and you read the story to both of them. (Again, if it's YOUR book, instead of hers, then she can't run off to the corner wtih it, and you haven't been stealing her book to read to her sibling. MINE is that concept that could get in the way here.
You have a 10 yr stretch between the kids, which is kind of interesting and fun. (We have 2 and 2, and the sets are 10 yrs apart-- 27, 25, 15 and 13, in a blended family) If you launch the subject with the older one, then it can be a game you guys play just to "see what happens", and it may help you guys bond some around the younger one. :-)
P.S. Did you know that most step-families become suddenly more cohesive when there's an "ours"? ? ? For the first time, EVERYONE in the family is related to SOMEONE. It's kind of cool.
the other thing I noticed with my tween and teen when the 1st "ours" was born was two was that the older ones were definately siblings and not "babysitters", or jr adults. It was really funny to enter the room and note that the oldest was actually having a verbal duel with the 2 yr old ! I let it go until it was done, and then called her aside. I said, "One rule: If you are disciplining a 2 yr old, you have to obey this rule. never, Never, NEVER argue with a 2 yr old. They make mroe sense. The 2 yr old will win. Every time. I learned that from you when you were 2. State the reality, and then enforce it gently. Do not argue over it."
It was the funniest thing I've ever seen, because I had thought the age difference would make it less like siblings. Even now, the older 2 are launched and gone, but they are DEFINATELY siblings. When they come home, they will set a night aside as "girls night out" and go to a movie, or something. This summer we went camping with the 4 of us and the eldest. the second eldest couldn't come due to a job. If it weren't for our eldest the younger two would have done "nothing". But Beth was interested in the national park we were at, decided to join the "ranger" program, and convinced the two of them to beceome junior rangers while she worked her way to senor ranger. It made the entire camping trip a whole lot more fun. We went on "big explores" like Winnie the Pooh (we didn't say that!), and learned a whole lot ourselves.
Bottom line (since I went off on a tangent) Have fun with your kids. Enjoy the age split of having an almost independent child whom you can do "big kid stuff" with, and returning home to a dependent child whose problems are generally all self-contained within the family unit. I think it makes both ages more enjoyable when you have the contrast ! And the other thing? Don't let this reading thing become a hassle. It hurts to get your hopes up and then be defeated by a little tyke. Try it a few times, if it doesn't work, let it go. Maybe she isn't ready. What's most important is that reading not become an antagonism between you two, because at some point she's going to need to be able to read, and you don't want that to be a reminder of a big frustration, and therefore be something she doesn't want to do. School will be MUCH easier if she enjoys reading.
We haven't watched PBS for a long time, but they used to have a show called READING RAINBOW. It's over her head now, but when she's 3, it'd be a good show for her to watch, or play with her toys while the TV is on. I would avoid tv for the young, but PBS shows tend to be slower moving and have less images per second, so they would be better for the developing brain than playhouse disney or the other "KIDS" shows. No evidence to agree with me, but I think TV and young children contributes to ADD because the scenes change so quickly it's hard to concentrate on one before its gone, and children learn to shift focus and attention at the speed of light. Then they get to school where they aren't supposed to do that.
Now THAT's a real tangent. Sorry !