Hi there. I would say that she probably just isn't interested. How engaging is the story teller at the library? I've been to a few and some of them are great at getting and sustaining the attention of the children and others tend to be a little bit boring!
I used to take my DD1 ata similar age and all she wanted to do was climb up and down the stairs in the library for the whole time we were there! But at home she loves her books and wants to be read to all of the time and will sit with me for very long periods of time.
So if it were me I'd give it a rest for a few months, you could still go to the library and choose books together to take home. Their attention span at this age is still pretty low so I wouldn't be concerned that she isn't sitting and listening.
You might be better off going for a great walk together and talking about all of the things you see on the way and having a play at the park - this is what I did with my DD and we have the best time together!
Now at just over two years she loves story times at the bookshop and at the library and will sit for a good 30mins or more!
Edited by Flutter Bug, 03 May 2012 - 01:41 PM.