Of the 11 patients who arrived at Tucson's University Medical Center after Saturday's shooting, Rep. Gabrielle Giffords is the only one who remains in critical condition.
Nine-year-old Christina-Taylor Green was dead on arrival, and surgeons were unable to resuscitate her.
The facility performed six surgeries, with three patients remaining in serious condition Sunday.
Giffords' spokesman, C.J. Karamargin, said staffers Pam Simon and Ron Barber were recovering.
Karamargin said Giffords' family and staff were appreciative of the job the physicians are doing. But he said something more than luck and good medical care was helping her recovery.
"Gabrielle Giffords is a fighter," he said. "She's very strong. She's very determined."
Struggling with emotion, Karamargin said the event "turned the world upside down for a lot of people," including Giffords' staffers, who are a tight-knit unit and refer to themselves as the "Giffords family" or the "Giffords team."