Phillips Academy, an elite boarding school in Andover, Mass., on Monday released a second report detailing the sexual misconduct of its faculty members with students.

The report followed up on information that was released last summer, and it included two new names: Brian Davidson, who is said to have “engaged in sexual intercourse” with a student; and Frederic Lyman, a teacher who had also been named in a sexual abuse report from Choate Rosemary Hall, a Connecticut prep school. At Andover, Mr. Lyman “engaged in unwanted intimate touching” of a student during a school-sponsored activity, the report said.

After decades of trying to keep abuse allegations quiet, some private schools have recently hired law firms to investigate and file reports of misdeeds, which the schools have then released. Andover’s report was written by Sanghavi Law Office, the same firm that handled last year’s report; investigators subsequently uncovered more allegations of abuse.

Dozens of individuals have made reports about faculty members acting inappropriately, with the behaviors dating as far back as the 1940s. But no one working at the school today was found to have engaged in sexual misconduct. The report also included one instance of a student abusing another student.