Beckstrom was said to have volunteered to work in the streets of the US capital on the Thanksgiving holiday.
Wolfe reportedly lived in Martinsburg, West Virginia, and attended the nearby Musselman High School.
The school said in a post on Facebook that it was “deeply saddened” to learn the 24-year-old had been identified as one of the National Guard troops shot in the capital.
“Please keep Andrew, his family and all those affected in your thoughts. We will share updates as we receive them,” the post says.
“As we head into Thanksgiving, please keep our friend in your prayers,” the Beltway Baggers, which runs regional tournaments for the American Cornhole League in Virginia, said.
Wolfe was reportedly an avid player of the sport, which involves throwing a bag of corn at a target. Posting a picture of the 24-year-old smiling and holding a beanbag, the post continued: “Our hearts are with him and his family.”
The National Guard has been deployed in the capital since August, when US President Donald Trump declared he was mobilising troops to clamp down on crime.
Trump ordered 500 more troops on to the streets shortly after the shooting. A judge has ruled the deployment illegal, but the Trump administration appealed the decision on Wednesday.
Pirro said both Wolfe and Beckstrom were still in a critical condition after surgery.
“Our hearts go out to the victims and their families,” she said.
“These are dedicated service members who were performing their duties in service to our nation and they are currently in critical condition. They have undergone surgery.”
The pair were members of the West Virginia National Guard, she said, and were in the city “pursuant to President Trump’s executive order to make DC safe and beautiful”.
Pirro continued: “They answered the call. They took the charge. They volunteered.
“They put their lives on the line for people they don’t even know and that, unfortunately, is becoming a reality more and more for the members of law enforcement.”
She said the gunman, using a 357 Smith & Wesson revolver, had ambushed the pair on 17th and I Streets near the Farragut West metro station.
“One guardsman is struck, goes down, and then the shooter leans over and strikes the guardsman again. Another guardsman is struck several times,” she said.
She identified the suspect as Lakanwal, who had come to the country following the US withdrawal from Afghanistan in 2021. He is said to have driven to DC from his home in Bellingham, Washington, where he lived with his wife and five children.
Fox News reported on Wednesday that he was in the country illegally after his visa expired in September, but this was not confirmed by authorities.
Lakanwal, who is under heavy security at a hospital after being subdued by other National Guard members, will be charged with assault with intent to kill and faces up to 15 years in prison.
Pirro said if Wolfe and Beckstrom do not survive, Lakanwal would be charged with murder in the first degree.
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