My DS2 was sort of like that. He would grab a book and insist that he was going to read it... and then get mad and trow the book because he could'nt read it. But I was not allowed to read it. I started out by encouraging him to use the pictures and tell us the story or what has happening in the picture. Then we progressed to picking out common words in the stories and I let him read the words he knows and as long as he could read with me he was fine. He is almost 3 now and we have progresed to finding letter sounds as we read.
It sounds like your daughter is going through an independant phase. My guess would be that she is just trying to be different from your DD3.
My now DD6 used to love looking at books and playing by herself, & she she still has an introvert personality.
