As the bus sped and wobbled toward Dallas, McClellan said, politeness eventually had to go out the window.
"It got to the point we had to raise our voice. 'Pull over! We have children on this bus!' " she said. "She'd be going over the white line, and everyone would be like, 'Wake up!' "
Instead of pulling over, McClellan said, the driver tried to ward off sleep by jabbing herself in the face with a pair of tweezers.
Finally, what CBS called a "mutiny" took place on the Greyhound. It was partially captured on video.
A man got out of his seat and stood directly behind the driver, clapping his hands above her head as he screamed: "You should have stopped when you were swerving! You should have stopped when you were swerving!"
Still not willing to pull over, passengers told CBS that the driver stood up while the bus was still moving to argue with the man.
"So get off the bus," she said in the video.
"I bet I don't," the man said.
"You're doing too much."
"No, you're doing too much."
The man then turned around and asked the other passengers who - he or the driver - was doing too much at that moment.
"She is!" a chorus replied.
With his popular authority established, the man then ordered the driver to report her exhaustion. "Call them," he said. "Call them right now!"
"Our drivers are in regular contact with our dispatch office," a Greyhound spokeswoman wrote in a statement, "and if they state they are feeling tired or fatigued, they are immediately removed from the schedule for at least 12 hours to allow them to get some rest."
The spokeswoman added that Greyhound has opened an internal investigation into the allegations and temporarily grounded the driver, who eventually relinquished control of the bus.
Passengers told CBS-11 that Border Patrol agents finally escorted the bus off the road, where Greyhound found someone else to drive them to Dallas - several hours late but safe.
The company shuttles millions of passengers between cities each year and has faced accusations like this before. A CNN investigation in 2016 reported a long list of horror stories, including a bus "fishtailing for miles," a driver with red eyes, and a driver asleep at the wheel. A government study once found that more than a third of passenger-bus crashes were blamed on driver fatigue, the network reported.
While Greyhound reports top safety ratings from the Transportation Department, CNN accused the company of failing to enforce rules requiring drivers to take a break every 150 miles. Greyhound had no response to the 2016 allegations, according to the network, except to say its safety record was excellent.
Greyhound said much the same in its statement about the Phoenix-to-Dallas trip: "We take driver fatigue very seriously."