Emergency responders received a call for help around 10:30 a.m.
The victims include the elderly couple who owned the home, Linda Delaney 72, and Carlos Delaney, 74.
Randy Horn, 54, his wife Ashley Delaney, 27, and their 15-month-old daughter were also found dead.
Authorities found one survivor, who was only identified as Ashley's mother by police.
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When law enforcement arrived at the scene they found that several people had been shot.
"She [Delaney's mother] is being interviewed".
The sheriff's office said it plans to brief reporters at 6 p.m. local time at a pavilion about a mile from the scene.
Lyons says a firearm was recovered from the house about 75 miles northeast of Houston and that no suspects are being sought.
Doha Madani is a breaking news reporter for NBC News.