The first couple brought flowers to Scalise according to White House staff, who is recovering from surgery after being shot in the hip.
Four others were wounded: a congressional aide, a lobbyist for Tyson Foods, and two US Capitol Police officers.
Capitol Police officers who were part of Scalise's security detail wounded the suspect, who later died because of injuries. Hodgkinson worked as a home inspector.
Investigators said they found anti-Trump messages on the shooter's Facebook social media page.
Mr Trump announced the gunman's death and called Mr Scalise, a 51-year-old Louisiana congressman, a good friend.
Spicer said Trump would not attend Thursday's congressional baseball game, which Scalise and others had been practicing for when he was shot, out of security and logistical concerns.
"He's a patriot and he's a fighter".
"Everyone on that field is a public servant", Trump said.
"He was in the outfield", Williams said about Barth during a news conference on Wednesday.
Both men thanked the Capitol Police officers David Bailey and Crystal Griner, saying that if not for their presence and quick reactions, things could have turned out worse.
Rafael Nadal remporte son 10e titre — Roland-Garros
Puis il a pris l'initiative avec son formidable coup droit lifté de gaucher et c'est Wawrinka qui a visité le court. En sept matches, il n'a perdu que 35 jeux (BIEN 35), à trois unités du record de Bjorn Borg en 1978.
BREAKING: House Speaker Paul Ryan: 'We are united in our anguish.
A grave Donald Trump called on Americans to unify after the shooting of a Republican lawmaker and three other people Wednesday at a baseball field, striking a notably less partisan tone in response to his first major domestic crisis.
U.S. Rep. Jeff Duncan of SC said he had just left the practice and encountered the gunman in the parking lot before the shooting.
The gunman had a rifle and "a lot of ammo", said Sen.
At the time, the Democrats were holding their own practice across the Potomac River in Washington. "'That's the Republicans practicing", Duncan told reporters. According to the Associated Press, Bernie Sanders says he is "sickened by this despicable act" and the shooter apparently volunteered on his campaign.
"Let me be as clear as I can be: violence of any kind is unacceptable in our society and I condemn this action in the strongest possible terms", Sanders said.
The attack happened at a popular park and baseball complex in Alexandria, outside Washington, at around 7am.
"All of a sudden we heard a very loud shot".
Texas Tribune's Washington Bureau Chief Abby Livingston said this comes after tense weeks filled with members of the U.S. Congress discussing passionate and pivotal issues. They also said they added "The Fallen Officers Fund" to their charity list.
He is an avid baseball fan and has played on the congressional baseball team since he entered Congress in 2008. "Those aren't good odds", Brooks said. Some 50 shots were reportedly fired. "There could have easily been 25 deaths or more today". He has co-sponsored legislation to weaken gun control laws in the District of Columbia.
As NPR's Jessica Taylor reports from the neighborhood: "This is people going about their normal mornings, probably not even knowing that there were members of Congress that were practicing a few blocks down the road here".
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