“I remember being told we were going into a war zone, but I don’t remember any commotion at the airport,” Mr. Mills said. “I don’t recall her running to cars. If that had happened, we would have made a picture of it.”

Image Hillary Rodham Clinton, who was first lady at the time, with her daughter, Chelsea, after landing in Tuzla, Bosnia, in 1996. Credit... Sasa Kralj/Associated Press

Maj. Gen. William Nash, who has since retired but was then the commander of United States troops in Bosnia and was at the Tuzla airport that day, said in an interview that there was no threat of sniper fire at the airport during Mrs. Clinton’s visit. He said she was gracious during her visit and took pictures with the soldiers, who were there to enforce the terms of the Dayton peace accord, signed five months earlier.

“She never had her head down,” General Nash said. “There was no sniper threat that I know of.”

Before Mrs. Clinton’s admission that she had misspoken, a spokesman for the campaign, Howard Wolfson, was asked Monday on a conference call with reporters to square her recent accounts with other evidence. In response, Mr. Wolfson referred to news accounts at the time that described the region as hostile.

He then added, “There is no question if you look at contemporaneous accounts that she was going to a potential combat zone, that she was on the front lines.”

Minutes later, when pressed to clarify his comment, Mr. Wolfson said news accounts made clear that the area in which she was landing was “a potential combat zone and was hazardous.”

He said that in her memoir, “Living History,” Mrs. Clinton wrote about sniper fire in the hills and “clearly meant to say that” when she brought it up last week. He said she had described the event many times the same way and that “in one instance, she said it slightly differently.”