In a statement, Capitol Police said Griner was in "good condition in the hospital, having been shot in the ankle".
At least five people were wounded, Brooks said, naming Scalise along with a congressional staff member, two law enforcement officers and another officer who was either with the Capitol Police or Secret Service.
Capitol Police Officer Crystal Griner, right, walks behind House Majority Whip Steve Scalise, middle, on November 15, 2016.
The President and first lady remained inside the hospital for about twenty minutes before returning to the White House.
"Representative Scalise...is in very tough shape - but he is a real fighter!"
Reba Winstead lives across the street from the parking lot of the park where the shooting occurred. The bullet caused massive bleeding, and damaged bones and internal organs. He underwent surgery, while Barth is said to be in "okay" condition.More news: Hands on with Apple's first Developer Beta of iOS 11
Other federal lawmakers representing northeast IN offered prayers for the shooting victims and thanks for the Capitol Police, who shot and killed the assailant, James T. Hodgkinson.
Scalise and four others were shot a little after 7 a.m. Wednesday while they were practicing baseball at a YMCA field in Arlington, Virginia.
In a statement, President Trump said he and Vice President Mike Pence were monitoring developments closely.
Trump added that he visited Scalise and his family at the hospital Wednesday night, and "reassured them that the entire country is pulling for them, praying for them". Mr Mika's family said the lobbyist was shot multiple times and is also in a critical condition following surgery. "And I decide if I want to live, I need to get to better cover, so I sprint - running for my life - down to the first-base dugout and I just jump in".
The popular annual face-off, which raises money for charity, is scheduled to go forward as planned on Thursday evening at the Nationals stadium across the Potomac from where the shooting took place.
Zack Barth, a staffer shot in the leg, ran in from the outfield and landed in Williams' arms.
"I spoke with Special Agent Bailey and Special Agent Griner this morning", Ryan told his colleagues on the House floor.