Relatives made the deadly discovery this afternoon at the Landmark at Kendall Manor apartment complex off Inverness Forest Boulevard.
Concerned relatives told authorities they were conducting a welfare check after not hearing from the family.
When they arrived at the apartment, they did not receive an answer at the door but the vehicles were still in the driveway.
The concerned family members went to the leasing office and asked for help.
Sheriff Ed Gonzalez said relatives found the bodies of the little girl and her 36 and 37-year-old parents inside a bedroom.
They have been identified as 5-year-old Dafne Medina, 36-year-old Jesse Medina and 37-year-old Estefani Arrambide.
"It appears to be an apparent murder-suicide with a total of three deceased. There is still a weapon at the location as well. Family members are out here on the scene. They're obviously very traumatized by what's occurred," said Sheriff Gonzalez. "The initial information that we have is that this is a total surprise. There were no apparent issues that they knew of or cries for help. These are always the most horrific scenes when there is a child involved. We simply can't make no sense of it."
Homicide investigators said it appears the husband is the killer as they found a gun near his body. Their investigation is ongoing and they are working to figure out the timeline of events.
@HCSOTexas units responded to 21000 blk of Inverness Forest Blvd. Possible murder-suicide: 2 adults and 1 child (5 yrs old). Three confirmed deceased at the location. Investigators and I am enroute. #HouNews pic.twitter.com/ZnBzkBaopG— Ed Gonzalez (@SheriffEd_HCSO) August 30, 2019
Two adults and a child have been confirmed deceased in a possible murder-suicide at a home in the 20000 block of Inverness Forest Blvd. @SheriffEd_HCSO is en route. Updates will be given from the scene. #hounews pic.twitter.com/velQUrCi4m— HCSOTexas (@HCSOTexas) August 30, 2019
Follow Steve Campion on Twitter and Facebook.