The incident happened Tuesday night in Cypress, Texas.
Deputies arrived to find a woman outside with a wound to the head. As they responded to the woman, deputies spotted a naked man running down the street.
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According to preliminary information from Harris County Sheriff's deputies, the man ran from his home after he assaulted the woman outside. Deputies said they believe the woman is the man's girlfriend.
According to deputies, the naked man ran to a neighbor's house and ended up kicking in a door before taking off again down the road.
Bystanders said the naked man was acting erratically before he was taken into custody.
Life Flight transported the woman to the hospital, where she later died.
During the ordeal, several children were left unattended inside a home where the man ran from. Deputies said they were not injured in the incident.
The relationship between the adults and the children was not immediately known.