It is really hard to find books in between Frog and Toad and “no picture” chapter books. We’ve found a few for our 7 year old that he has loved:
Tornado
My Father’s Dragon–his favorite!
Gooney Bird Greene
Sarah Plain and Tall
He just finished a Magic Treehouse book. I think this was a little hard for him, but he pushed through
He also loves the longer Dr. Suess books that take a while to read to himself. They crack him up.
I wish they were easier to find for this in between stage.
I find that especially after we read a book he likes to read it to himself. He had heard My Father’s Dragon read two or three times and then read it to himself. This is a really good one to start them with.
I would challenge your daughter, but also keep giving her ones that she can easily read. Everyone needs variety.
Have fun!