Police say Agibal Milbourne, 40, from Parkesburg, was driving the SUV involved in the wreck around 1:00 p.m. Monday between Route 100 and Route 202 in West Whiteland, Chester County.
Milbourne's two children were in the vehicle. Her six-year-old daughter was uninjured, but her four-year-old daughter has been transferred to Penn State Hershey Children's Hospital in critical condition.
Authorities earlier said they believe the SUV struck a stopped vehicle.
There was no immediate word on charges in this crash.
That stretch of the Route 30 bypass was closed for about three hours on Monday afternoon.