KBTX reports all the victims are from the same family, and resided in Farmersville.
Authorities identified the bodies as father David Walker, 54; mother, Tamara Walker, 51; and daughter Victoria Walker, 21, who was a senior at Texas A&M University.
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The lone survivor of the crash is also a student at Texas A&M. It is unclear his relation to the family. Authorities said he was transported CHI St. Joseph Regional Hospital for his injuries.
The Piper PA24 crashed about 2:30 p.m. at Coulter Field Airport, about 85 miles (137 kilometers) northwest of Houston, Lunsford said.
Telephone calls to the Bryan Fire Department and Emergency Management and to Coulter Airfield were not immediately returned to The Associated Press.
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3 dead, 1 in critical condition after plane crash in Bryan
The FAA and the National Transportation Safety Board will investigate the crash, according to Lunsford.
Police said the cause of the crash remains unknown.
The Associated Press contributed to this report.