A source said investigators are not sure of the significance of the names and it is not clear whether this was a list of people the attacker was targeting.
When Scalise arrived in the hospital, he had an "imminent risk of death" and was "as critical as you can be", doctors also said.
Griner, who was also shot, is in the hospital in good condition and spirits after a gunshot wound to the ankle, Sava said Friday.
A Republican supporter holds up a sign supporting US House Majority Whip Steve Scalise.
Scalise's security detail and other police officers shot and killed the assailant, James Hodgkinson of IL, who had lashed out against President Donald Trump and other Republicans over social media. A single shot left Scalise, 51, with a shattered bone in his left hip and internal injuries that caused severe bleeding.
Trump said Friday his "dear friend", Scalise, "took a bullet for all of us".
The alleged shooter, identified by police as James Hodgkinson, 66, of Belleville, Illinois, was killed in a shootout with police Wednesday morning after shooting Scalise and three others.
According to the American Hospital Association, "serious" and "critical" condition is among the two most grave designations that medical officials use to describe a patient's general condition, though "serious" is a less urgent designation than "critical".
Trade commission seeks to block daily fantasy sports merger
Yahoo, a billion-dollar-plus company of its own, hasn't tried to offer over one million dollars in prizes on any given day yet. The suit does not mean there has been any finding of guilt, only that there is a reason to believe the merger violates the law.
Bailey was spotted on Friday in the Capitol, on crutches and out of uniform, accepting congratulations from fellow officers.
House Majority Whip Steve Scalise listens during an interview in NY on October 8, 2014.
At Friday's hospital news conference, Scalise's chief of staff Brett Horton read a statement from Jennifer Scalise, the congressman's wife. Hodgkinson maintained a social media presence that was pro-Bernie Sanders and anti-Republican.
Steve Scalise on Capitol Hill in 2015.
President Donald Trump speaks about the shooting of House Majority Whip Steve Scales of La.at a baseball practice, Thursday, June 15, 2017, in the Roosevelt Room of the White House in Washington before the start of an event on Apprenticeship and Workforce of Tomorrow initiatives.
Scalise and three other people were shot early Wednesday at a park in suburban Washington as they practiced for a congressional charity baseball game.
She said she was married to James Hodgkinson for almost 30 years but they have not been together since March, when he moved to Washington, D.C.