Baltimore Police are investigating the shooting, which took place in Joseph E. Lee Park, a short distance from the Johns Hopkins Bayview Medical Center.
The Second Empire brick house with a mansard roof was listed on the National Register of Historic Places in 2001 and included on the 2006 inventory of endangered buildings by Preservation Maryland.
Like many independent schools, the all-boys school in North Baltimore fosters close relationships between students and teachers that have at times been exploited by abusers.
The 24-year-old Cockeysville man faces a total of 11 counts in connection with the recent shootings of a police officer and a detective in separate incidents.