Dr. Thomas R. Frieden, director of the C.D.C., had publicly stated that because Ms. Vinson was being monitored, she should not have boarded the return flight, although it later became clear that the agency had allowed her to fly.

“Suggestions that she ignored any of the physician and government-provided protocols recommended to her are patently untrue and hurtful,” the statement read. “She has not and would not knowingly expose herself or anyone else.”

In a statement, Ms. Troh expressed relief that the Ebola threat in the Texas cases was drawing to a close, but sadness over the death of Mr. Duncan.

“We are so happy this is coming to an end, and we are so grateful that none of us has shown any sign of illness,” Ms. Troh said in the statement. “We have lost so much, but we have our lives and we have our faith in God, which always gives us hope. Even though the quarantine is over, our time of mourning is not over. Because of that, we ask to be given privacy as we seek to rebuild our home, our family and our daily living.”

Ms. Troh — along with her 13-year-old son, Timothy, and the two young men who shared the apartment with her and Mr. Duncan — were removed from the contaminated apartment several days after Mr. Duncan was hospitalized. They were moved to a residence provided by a local benefactor. Local leaders and Ms. Troh’s pastor, the Rev. George Mason, had been looking for a place for them to move but had trouble finding a landlord willing to rent to them. They appeared to have found a single-family rental home for them to move into temporarily. Their old apartment was gutted, and many of their personal belongings were incinerated. “What she wants more than anything else is to get out of there with those boys and, in her language, be an American,” the pastor said. “She’s an American and she wants to live her life and be respected because she’s done nothing wrong.”

An unnamed Dallas philanthropist plans to donate tens of thousands of dollars to Ms. Troh, the officials said. Michael Wayne Lively, 52, never met Mr. Duncan, but he rode in Ambulance No. 37, and that was all it took to drastically change his life for three weeks. Paramedics used that ambulance to ferry Mr. Duncan to Presbyterian on Sept. 28, but before it was taken out of service and decontaminated, they answered the call to pick up Mr. Lively.