Scalise was the lone Congressman shot, along with two Capitol Police officers and a Williams' staffer named Zack Barth, who was released from the hospital later in the day.
Scalise was wounded when a gunman opened fire at a Republican baseball practice in Virginia on Wednesday.
66-year-old James Hodgkinson of Belleville, Illinois, who died is the suspect in the shooting.
Emotions were running high as Congressman Roger Williams from Texas held a press conference to speak about a shooting in Alexandria.
Williams said Republican Rep.
"Americans everywhere should be thankful that this is still the kind of country that still produces these kinds of heroes", he said, adding that he will attend the scheduled baseball game between Republican and Democratic House members tomorrow.
An avid sports fan, Mr. Scalise has also routinely been part of the annual congressional baseball game, which is still slated to take place on Thursday in the wake of the attack.
"I'm out behind the fence trying to help the Capitol Hill police engage or spot the guy because he's moving back and forth, (and) they don't necessarily see where he's at", Conaway said. "(Rep.) Jeff Flake took his belt off and made a tourniquet around Zach's leg to stop the bleeding.
Zack Barth, a graduate of Stratford High School in Spring Branch ISD in 2011, was among those injured, Williams tweeted shortly after the incident. If we don't play this baseball game and we give in, they win.
Williams said he "literally dove" into the seven-foot-deep dugout next to the field. "Officers of the Capitol Police returned fire and ran towards the shooter, risking their lives while saving others", Rep. Joe Barton said in a statement.
Rep. Williams confirmed on social media Wednesday morning that Barth was the aide and that he is expected to make a full recovery.
"Some of us went in the dugout".
They were onto their third player taking batting practice when their coach, U.S. Rep. Mike Doyle of Pennsylvania, called them into the dugout for a grim announcement.
But we're going to play, we need to play - this is a game that's been going on for over 100 years, it goes to charity, we need to play this baseball game, ' he said.