The event was held at 6:15 p.m. at the Point Ann Apartments in Texas City, the location where the children's bodies were discovered during a welfare check, along with their mother, who was shot in the head.
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According to police, Junaid Mehmood, 27, confessed to 911 dispatchers about killing Angela Pilot, 5; Prince Larry Brown, 2; and 2-month-old Ashanti Mehmood.
Mehmood was taken into custody late Thursday behind the Panera Bread restaurant on El Dorado at I-45 in Clear Lake, just hours after police made the gruesome discovery.
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The children's mother, Kimaria Nelson, 24, underwent surgery and is in stable condition at University of Texas Medical Branch in Galveston.
RELATED: Medical examination reveals 3 Texas City children stabbed multiple times
Medical examination reveals 3 Texas City children stabbed multiple times