Bruton said Hannah was a talented girl with a gift for writing and drawing.
"She loved animals, especially her cats and she would do anything to help you," she said.
"Our hearts are broken and will never be the same. Fly free our beautiful angel. May you rest in peace."
The family asked that people respected their privacy "during this difficult time".
Hannah attended Glen Eden Intermediate School.
Yesterday principal Maree Stavert emailed parents and caregivers, "We received the sad news that one of our students had passed away as a result of the injuries she sustained in the bus accident at Turoa.
"Hannah Francis was a Year 7 student in Room 19 and will be sadly missed by her friends, classmates and teachers.
"We are sure you all join with us in expressing our heartfelt condolences to Hannah's family at this extremely difficult time," the email read.
Hannah died after the Ruapehu Alpine Lifts bus she was travelling in with her father and stepbrother just after 2.30pm on Saturday afternoon.
Witnesses have described to the Herald how the bus hit the side of a bank and then rolled.
The girl was taken to Waikato Hospital by rescue helicopter, but died en route.
Police said on Sunday afternoon that they were still carrying out the formal identification process, but confirmed it was a young woman who died as a result of the crash.
Messages of love and support have been pouring out on her mother's Facebook page.
"Rest in love beautiful girl ... Sending lots of love to you, your family and all who knew & loved your precious baby girl xox," one friend wrote.
"Awww babygirl ... your mommy loves you so much ... Rest Easy babygirl ... fly high ... you're in God's arms now ... you're safe," another wrote.