Barbara Bell spoke briefly with The Associated Press, but she declined to discuss her kids' ordeal, saying she didn't think it would help their case.
"I'm devastated and I'm trying to be strong for other family members," Bell said. "Throughout all of this, I think everybody just wanted it to stop. And now it's over."
Her children - Lee Grace Dougherty, 29, Dylan Dougherty Stanley, 26, and Ryan Edward Dougherty, 21, - face four Colorado state charges each of first-degree assault on a peace officer.
They were scheduled to appear in court Thursday in Pueblo, Colo. They will appear by video from the jail and won't be transported to the courtroom, said officials.
The three have warrants in Georgia and Florida on charges they robbed a bank in Georgia and shot at a police officer in Florida.
After their photos were broadcast on TV, a tipster called Colorado law enforcement officials Wednesday morning, saying the siblings may be at a campground south of Colorado Springs, Colo. A Pueblo County sheriff's detective spotted the car near an interstate highway that day, followed it discreetly until state troopers joined him, and the chase was on.
AK-47 rounds were fired at the four patrol cars during the pursuit south on the interstate, where speeds exceeded 100 mph, said officials.
Trooper deployed spiked stop strips across the interstate in Walsenburg, Colo. This punctured a tire on the Subaru the siblings were driving, sending it rolling and crashing into a guardrail.
Lee Dougherty was shot in the leg after she pointed a gun at a police officer near the car, authorities said, adding that she was trying to escape on foot. Another one of the suspects was apprehended after a brief foot chase.
Three highway workers reportedly helped track and capture that sibling. Dave Dallaguardia told ABC's "Good Morning America" Thursday that he followed Ryan Dougherty in his truck even after the fugitive had motioned at him as if he had a gun.
Dallaguardia said he had no idea he was chasing one of the Dougherty siblings and his wife later scolded him for pursuing him.
Lee Dougherty was treated at a Walsenburg hospital for a gunshot wound and her brothers received treatment for injuries suffered in the crash. They were later transferred to Pueblo County Jail.
The trio reportedly had bought camping gear and were hiding out in the remote San Isabel National Forest in southern Colorado.
The Associated Press contributed to this report.