The 21-year-old's family blasts 'egregious, false' reports

Credit: Landov

As Bobbi Kristina Brown remains on life support after being found unresponsive in a bathtub at her home on Jan. 31, her devastated family is preparing for another sad milestone: the three-year anniversary of the death of her mother, Whitney Houston.

Given the eerie similarity of the two incidents, it was inevitable that rumors would spread that Bobbi Kristina would be removed from life support on Feb. 11 – the same day her mother was found in a bathtub at the Beverly Hilton Hotel.

But multiple family sources tell PEOPLE that the family is still hoping for a recovery and has no plans to terminate the 21-year-old’s life support on the anniversary of her mother’s death.

The rumor is one of many that have circulated since Bobbi Kristina’s tragic incident. On Tuesday, her father Bobby Brown released a statement through his lawyer regarding the constant speculation, calling many of them “egregious, false” and promising that they would “be dealt with at an appropriate time.” In the comments through his attorney Christopher Brown, he added: “This is a criminal investigation and the integrity of that process requires silence.”

Adds a relative: “Bobby is dealing with Krissi’s doctors to determine what can, should and will be done. He wants to make a decision based on facts, not on what the public feels that he needs to do.”

“Bobby is genuinely baffled that people are all giving their opinions online,” says the relative. “If people want to help, they will pray for her recovery, not give their opinions about things they know nothing about.”

Some of the confusion may come from seemingly contradictory statements of the Brown family.

“Doctors don’t see any hope for change,” Jerod Brown, Bobbi Kristina’s cousin, wrote on his Facebook page last Friday.

But another cousin, Shayne Brown, had a different – and more optimistic – opinion. “She’s progressing,” he told Entertainment Tonight. “She’s getting better. We just ask for people to continue to pray.”

For his part, Bobby Brown has avoided giving specifics about his daughter’s condition, instead showing gratitude to all the family’s supporters. “We thank everyone that supported the vigil for Bobbi Kristina, he said in a statement. “God is hearing our prayers.”

For more on Bobbi Kristina, pick up the new issue of PEOPLE, on newsstands now