The plane was taxiing after landing when it veered into a grassy area.
"There were two occupants on board," said Klein Fire Chief David Bessolo. "They got out with injuries. Other than damage to the aircraft, it was pretty routine."
Routine except for the image of a plane manufactured in 1940, with biplane wings, painted bright blue and yellow. The plane's tail was up, its nose mired in the muddy ground next to the runway.
The FAA, according to the fire chief, will question the pilot. His name was not released.
The plane is believed to be repairable.