The family of Lily Hooper have praised police despite a mix-up during the search for her that briefly gave them false hope before she was found dead in Nattai National Park, near Sydney, Australia. Their response has drawn attention for its graciousness towards officers, even though an error during the search operation caused additional and unnecessary emotional distress at an already devastating time.

The article's full details of the search, the nature of the mix-up, and the circumstances of Lily Hooper's death were not available in the retrieved text, which consisted largely of unrelated site navigation and other headline links rather than the story's substantive content. As such, this summary is limited to what can be confirmed from the article's title: a search-and-rescue operation for Lily Hooper in the Nattai Park area of Sydney ended with her being found dead, following a mix-up that had temporarily raised the family's hopes.