SAGINAW, Mich. (AP) — Gunfire erupted during halftime at a middle school football game on Wednesday afternoon, wounding two teenagers and two adults, police said.

A 16-year-old boy was shot in the neck, Detective Sgt. Brent Vanderhaar said. The three others were treated and released, some after being grazed by bullets.

Police late Wednesday were questioning one person whom Vanderhaar described as a ‘‘person of interest.’’ The investigator would not say whether the person had been arrested and gave no other details.

Vanderhaar would not say whether the boy had been targeted by the shooter, but did say the other victims apparently were innocent bystanders walking from the game.

No arrests had been made, but police had one person in custody being questioned as a ‘‘person of interest,’’ Vanderhaar said.

The injured teenagers were not students at South Middle School, where the shootings took place about 5:15 p.m. The other victims were an adult male and an adult female, Vanderhaar said. He declined to provide more details.

About 100 people were attending the game when the shooting erupted a short distance from the school’s football field, where the team was playing Central Middle School, Vanderhaar said.

Safiya Mosley, a Saginaw Public Schools spokeswoman, said players and spectators were moved toward the center of the football field immediately after the shootings. They were allowed to leave after police indicated the situation was under control.

Classes were to be held Thursday at the middle school under stepped-up security, Mosley said. Crisis counselors would be available to students needing them, she said.

‘‘Things that go on in the community sometimes has effects in the schools,’’ Mosley said. ‘‘It’s going to take the community as a whole to fix it.’’