Rep. Davis Reacts to Congresswoman's Shooting: 'I Am Saddened and Outraged'

"I am saddened and outraged by this tragedy that killed a federal judge and a 9-year-old child, as well as other injured innocent victims," she said.

The shooting occurred Saturday outside a supermarket in Tucson, AZ, when a gunman opened fire as Gifford was meeting with constituents, authorities said.

At least six people are dead, including 63-year-old John Roll, chief judge for the U.S. District Court in Arizona, and 9-year-old Christina Greene. Giffords' aide, Gabe Zimmerman, 30, was also killed. Thirteen people were injured. 

Authorities said the congresswoman was reportedly the target of the attack. Giffords, a Democrat, was flown to a Tucson trauma center. She is in critical condition but she has been responsive and prospects for survival are good, her doctors said in a press conference Sunday.

"Reports of Rep. Gabrielle Giffords that are promising recovery are a great relief," Davis said. "We must reflect on our country and pray that this horrible shooting will renew our dedication to a serious and civil dialogue about how we can have an even more perfect union."

Late Saturday afternoon, the chairmen of the San Diego County Republican and Democratic parties—Tony Krvaric of the GOP and Jess Durfee for the Democrats—released a joint statement. They said in part:

"Regardless of political ideology, we are united in our horror over the violence against those who are called to serve at any level and members of the general public who participate in the Democratic process. We cannot allow our public servants to become targets of threats and violence. We must condemn violence and the ... threat of violence, immediately, every time."

The shooting prompted questions about the safety of elected officials.

Rep. Duncan Hunter, who represents much of East County as well as Poway and Ramona, told NBCSanDiego that his office has received threats but declined to give details.

“We don't have any security or anything. We go out in public places all the time like everybody else does," Hunter told the TV station. “'But there's not much you can do because we're always out there in the public. There's no way to be a congressman really if you're surrounded by security.”