Harris County sheriff's officials said in a statement that Russell Cormier is "extremely dangerous" and considered a threat to the public.
Authorities say Cormier killed 61-year-old Fannie McWhite on Monday, took her pickup, drove to the trailer where he lived and set it on fire.
He later drove to a business and fatally shot a 60-year-man as he arrived for work.
Officials say early Tuesday he then went to a home, confronted a man inside and shot him once. That person is hospitalized in stable condition.
Investigators have not revealed a motive for the shootings.
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HOUSTON (AP) — A manhunt is underway in the Houston area for a 53-year-old man who authorities say fatally shot his estranged wife and a second person before later shooting and wounding another person.