Moises Huerta's truck was located about a half-mile away from the shooting scene, at 12700 Silver Memorial Road, Sheriff Ed Gonzalez said.
A man's body was found inside with what appeared to be a self-inflicted gunshot wound, and the person appeared to be Huerta, the sheriff added.
The Harris County Sheriff's Office was looking for Huerta as the person wanted in a domestic shooting that happened mid-morning Friday in the 3600 block of Oakhall, which is in a neighborhood just off Veterans Memorial and Antoine drives.
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According to Gonzalez, the 42-year-old victim was taking her 11-year-old daughter to her school bus stop when Huerta appeared, leading to an altercation between the estranged spouses.
"A firearm was produced and the suspect shot the victim," Gonzalez tweeted.
The man then ran to his nearby home while also shooting at a witness who followed him and was not injured, Gonzalez said.
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The wounded wife was hospitalized in critical condition.