Sorry to be the one to give you bad news. Especially if your daughter has saw the pic. That's a pool bar "Leaping Libations" so no carousels to ride until you go to MK!
There is also a small carousel at Downtown Disney near the pin store. At least I think it is still there. My own DD loved it when she was younger. There is a charge though.
Depending on the age of your daughter, though, she might think it was very cool to order a snack or drink there. (They have non-alcoholic drinks, of course!)
It was still there in September. I don't think it was very expensive, and it seemed to go on for a really long time. I spent a long time watching it.