The family of James Copenhaver, one of the two men critically injured in the assassination attempt on former President Donald Trump, released a statement Tuesday, thanking the public for their "outpouring of support."

"Jim would like to especially thank the first responders, medics, and hospital staff who have provided him with initial and continuing care," the statement read. "Additionally, Jim would like to express his thoughts and prayers for the other victims, their families, and President Trump. He prays for a safe and speedy recovery for them all."

Copenhaver, 74, of Moon Township, Pennsylvania, "remains in critical but stable condition" as of Tuesday afternoon. He is being treated at Allegheny General Hospital in Pittsburgh.

His family has requested privacy as he recovers.

"The Copenhaver family would like to thank you for your continued thoughts, prayers, and support as Jim and his family recover from this horrible, senseless, and unnecessary act of violence," they said.

House Majority Leader Steve Scalise said he believes Secret Service Director Kim Cheatle should resign.

"I've been very disappointed in her and her lack of candor," Scalise told Politico. "I think the American people need to see whatever the answers are. Tough questions, you got to take the tough questions. You take a position like that … you can’t have a bad day."

Scalise said the Secret Service "should have been out publicly right away" and addressing the press after the shooting.

"You had the local law enforcement giving a press conference, frankly, being asked questions that the head of the Secret Service should have been asked," he said. "And she, you know, kind of was nowhere to be found during that period, and yet they took those tough questions. She's got to answer tough questions. You can't hide from them."

Scalise was shot and wounded at a congressional baseball practice in 2017.

-ABC News’ Mike Pappano

Former President Donald Trump has spoken to a family member of Corey Comperatore, the 50-year-old firefighter who was killed at Saturday’s rally, a source told ABC News.

Comperatore leaves behind a wife and two daughters. His funeral is set for Thursday.

-ABC News’ Rachel Scott

The Pennsylvania State Police said it provided "all resources" the Secret Service asked for ahead of Saturday’s rally.

The Secret Service's requests included about 30 to 40 troopers to help secure the inside perimeter, the state police said.

The state police said it "was not responsible for securing the building or property at AGR International," which was the building from which the shooter fired from the roof.