Elaine's father says she was the victim of abuse by other pupils. He has reported the bullying incident to police.
Bill Jordon, headteacher of Elaine's school in Hartlepool, expressed his deep sadness following his pupil's death.
He said: "This is tragic news and our thoughts go out to Elaine's family at this very sad time."
He said the school had "stringent policies" to deal with the problem of bullying.
In 1997 Elaine was featured in newspapers and on TV when she underwent a bone marrow transplant to help her younger sister Christine, who was diagnosed with leukaemia.