Initial reports indicated that the shooter was a member of the Afghan National Defense Security Forces, an ally to North Atlantic Treaty Organisation, and that he was immediately shot dead by other Afghan forces, a statement from Resolute Support said.
An online GoFundMe campaign for the Taylor family had generated more than $160,000 in donations as of Sunday afternoon and the number continued to climb.
Both U.S. service members were evacuated from the scene to Bagram Airfield.
Taylor is survived by his wife, Jennie, and seven children, according to the Tribune.
The 39-year-old Taylor was on a one-year leave of absence from his job as mayor of North Ogden for his deployment to Afghanistan. Taylor, Burton said, was "rucked up, if you will, and moving out on foot when this occurred". Brent Taylor, who was killed in the attack.
"For me personally, Brent typified the citizen soldier".
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Taylor's body is scheduled to be flown back to Dover Air Force Base today and funeral arrangements are pending, he said.
North Ogden City Councilman Phillip D. Swanson confirmed the news.
Taylor was assigned to Utah Army National Guard Element, Joint Force Headquarters, Draper, Utah.
In August, a State Department official said that the USA was doing "everything we can" to bring the Taliban and the Afghan government to the table.
Over the past 10 months, Taylor posted periodic updates of his Afghanistan service to Facebook, often sounding and looking optimistic.
Taylor in 2013 became mayor of North Ogden, a city of about 17,000 people 46 miles (74 kilometers) north of Salt Lake City. "His service to his community is going to be remembered forever".
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Taylor is the 38th US military member killed in action in Afghanistan since the beginning of 2015.
Despite the danger of the area, he thinks Taylor felt "he was among friends with the people that he was working with", adding to the anguish over the turn of events. The assailant "was immediately killed by other Afghan Forces", according to the release. "I wish them all the comfort and courage to face the hard days ahead".
Taylor previously served two tours of duty in Iraq as a convoy security commander and then as an adviser to the Iraqi intelligence agency, according to a city council biography.
U.S. Sen. Orrin Hatch, R-Utah, in a Twitter message, described Taylor's death as "devastating" news.
In a statement Saturday, the Utah National Guard announced the death of one of its soldiers.
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