"The rumors around town are running absolutely rampant," she said.
Latimer clarified a couple of legal issues, saying that it is not allowed for the positions of mayor and city administrator to be filled by the same individual, nor is she allowed to appoint herself as administrator.
However, Latimer said several Marshall City Council members and area residents have approached her about taking over for Tryban.
"I will say that I am considering resigning my mayor's position to apply for that," she said. But, "I have not made up my mind."
She added, "In a way, I feel like I'm bailing on the people that supported me" for mayor. "On the other hand, I am flattered that the council has that much faith in my ability."
Latimer also said that her own interests are not her only concerns when weighing her options.
"If I didn't think that it would be good for the city," she said, then she would not consider applying for the administrator's position.
Latimer said she will give the council her decision at its regular meeting Monday, Feb. 1, at 5:15 p.m.
She also noted that, throughout her tenure as mayor, she has done some work that could be considered more in the city administrator vein, naming the East Eastwood Bridge project as an example.
"A lot of the things that I've done since I've been in the mayor's office have involved some of that sort of work," Latimer said.
She has also been performing the work of both positions since Tryban's retirement.
In the event of Latimer's resignation and appointment as administrator, council member and mayor pro tem Lorna Alexander would finish out the mayor's term, which expires in 2011.