That looks like what happened to a minivan my sons were in after school when they were in high school. A friend was driving them home, along with a few others. It had been drizzling rain for hours, and a front tire blew out. They fishtailed, hit and embankment, and did a barrel roll, and then the engine began smoldering upon last impact.
Everyone was wearing seatbelts and were shaken but none injured.
I'm glad your niece is OK.
@LowEndMuse: Yeah, probably will be. My boys were, as were their friends. After my startling car wreck back in 1995, I was sore for days and had a bruise across my chest from where the seatbelt stopped me from bouncing all over the car and through the windshield.