The child's mother, Lynette Monique Gasper-Washington, and her boyfriend, Rajfik Keating, have been charged with aggravated assault injury to a child.
Bond for each was set at $500,000.
Firefighters were called to an apartment complex on Creek Bend Drive around 10 p.m. Saturday.
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The child, who was found unresponsive, was taken to Southwest Memorial Hermann Hospital with CPR in progress.
Officials said the boy appeared to have suffered multiple injuries.
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The child's caretakers, Lynette Monique Gasper and Rajfik Dominique Keating, are currently in custody and facing aggravated assault injury to a child charges.
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