The incident happened around 12:15 a.m. Saturday on East Cleveland Avenue.
Officers tell Action News that the woman, who is from Morristown, Camden County, was walking on the roadway just next to the curb when a 2001 Dodge Dakota pickup truck driven by 46-year-old Errol Johnson slammed into her.
Two 19-year-old women were also struck by debris during the crash. Those two, identified as University of Delaware students, were not seriously hurt.
At last check, the young woman who was run-over was listed in serious, but stable condition.
Witnesses managed to get the tag number on the pickup truck as it drove away from the scene. The vehicle was located a short time later in the driveway of Johnson's home, located nearby.
Johnson, who was still in the vehicle, was arrested and is now facing a number of charges, including DUI.