Arcola (ar-KOH'-luh) police say the attack happened late Sunday night and one or more suspects fled.
Investigators are trying to determine what sparked the fight.
Authorities say the son was dead at the scene while his father was wounded in the abdomen. A woman was shot in the foot. Names of the injured and details on their conditions weren't immediately available.
The name of the man who died was also not immediately released.
Arcola is 20 miles south of Houston.