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On Saturday evening, deputies said they responded to the 16100 block of Golden Sands Drive after the family advised they went to check on their grandmother and could see through a window that she was dead inside the home.
When deputies arrived, they found a sliding glass door shattered and 80-year-old Judith Maydwell unresponsive on the living room floor.
She appeared to have suffered numerous blunt force injuries, deputies say.
While speaking with family members, authorities learned that the victim's 30-year-old grandson, Chad Maydwell, was wanted by the Grimes County Sheriff's Office for his father's aggravated assault, which occurred on March 7.
Interviews with neighbors of Judith Maydwell confirmed that Chad Maydwell's car was later seen around her home.
Chad Maydwell was found Sunday morning in the 12700 block of Jarvis Road.
He fled into a wooded area and was eventually captured by an HCSO K9 Unit with the assistance of the Texas DPS and HCSO Air Units, investigators say.
During the arrest, Chad Maydwell admitted to assaulting his father and killing his grandmother.
Chad Maydwell will be booked into the Harris County Jail for the aggravated assault warrant out of Grimes County and is being charged with capital murder in Harris County for the death of his grandmother, Judith Maydwell.