Elizabeth Kazza got about three miles from the crash site when a motorist spotted her trying to drive the wrecked Jeep and stopped to help, the Albuquerque Journal reported Wednesday.
"It's remarkable anybody could drive after something like that," State Police Capt. Jimmy Glascock said.
Authorities say the girl's father, Guillermo Montes, 40, was speeding and lost control of his Jeep Cherokee going into a turn Saturday night.
Elizabeth and her 3-year-old brother were unrestrained in the Jeep at the time of the crash, Glascock said.
They told investigators Montes had driven to Clovis to buy beer and was drinking while heading back to his home in Bovina.
The children were treated for minor bumps and bruises. Montes was pronounced dead at the scene.