Officers were called at about 8:25 a.m. Wednesday to the 2600 block of Holly Hall.
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The woman and her boyfriend were asleep in the apartment when police said her ex barged his way inside the unit. Detectives are still investigating how the man got inside.
Once inside, police said the ex-boyfriend shot the new boyfriend and then kidnapped the woman.
It was unclear where he took her, but she somehow got away because she made her way to the Houston Police Department's southwest substation to report the crime, according to police.
The child the woman and suspect share was not inside the apartment at the time of the shooting, police said.
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While the suspect remains on the loose, police said they were able to recover his vehicle. They did not disclose where it was found.