"Miles is described as a white male, 6'2", 200lbs with brown hair and hazel eyes.
When they arrived, they found a deceased woman inside the home and two little girls missing: Lilianais (Lili) Victoria Cake Griffith (left), 14, and Luluvioletta Mariposo Bandera-Margaret (middle), 7.
The girls are believed to be with Terry Allen Miles, a person of interest in the suspicious death case, CBS affiliate KEYE-TV reports. The Austin American-Statesman reported Monday that officers responded to a welfare call in the 2600 block of Leslie Court.
Luluvioletta Mariposo Bandera-Margaret was born on January 31, 2010, and is 4 feet 5 inches tall.
Griffith is 5 feet tall and 100 pounds, with light brown hair, brown eyes, braces and a stud on the right side of her nose.
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Investigators say Miles is a person of interest in the woman's death.
Miles might be driving a grey 2017 Hyundai Accent with Texas license plate number JGH9845.
Authorities said Miles may be headed to Louisiana.
Authorities believe the girls are in grave or immediate danger. An Amber alert was issued on Sunday for the two Texas girls. The vehicle has a hatchback with a white sticker in the right-hand corner of the rear window.
Anyone with information is asked to call the Round Rock Police Department on their tip line at 512-670-5700 or call 911.