The family’s lawyer, Gary Phelan, said on Friday afternoon that Ikeoluwa had not encountered any trouble on her first day back at school. “Her return to school went smoothly under the circumstances,” Mr. Phelan said. “It was all positive.”

The lawsuit, which both sides agreed to settle, came as several states, including New York, New Jersey and Connecticut, defended their decisions to quarantine healthy travelers returning from Guinea, Liberia and Sierra Leone, where the spread of virus has reached epidemic proportions.

Mr. Opayemi said the authorities had told him the ban, which exceeded state and federal Ebola policies, was intended to address local residents’ fears, whether justified or not. The family’s lawsuit described the prohibition as a violation of the Americans With Disabilities Act, which protects the rights not only of people with mental or physical disabilities, but also those of healthy people who are mistakenly treated as being ill.

Earlier this week, Mr. Opayemi explained why his family had sued. “We wanted to show our daughter that we fought for her in the future when she grows up,” he said. “The second reason is, I want to change the narrative about my daughter.

“She’s not a girl who was sent home because she had Ebola. This is a girl who was wrongly sent home because of irrational fear, ignorance and overreaction.”