Leo Evans, 58, was arrested Monday and released on bond. Evans waived a hearing to determine whether there's probable cause for the charge, and the case will move directly to Delta County Circuit Court.
Messages seeking comment were left for Evans and his attorney, Jayne Mackowiak.
"This came as a big shock to all of us," current Escanaba Mayor Marc Tall said Tuesday. "Leo didn't appear to be the kind of guy to get into this kind of trouble."
Evans, who abruptly resigned in April from the city council, had served as mayor in the past. The mayor is the leader of the council. Day-to-day decisions in Escanaba are made by a city manager.
"When he resigned, he said it was for an upcoming problem," Tall said.
Sgt. Christopher Bracket of the state police said Evans has been cooperative during the investigation.
The Eagles Club is a fraternal organization that raises money for other groups and projects in Escanaba. A message seeking comment was left at the club.