Two Anne Arundel County firefighters and their commander are being investigated for a Sept. 16 incident in which the two allegedly engaged in sex with a woman while on duty at the Brooklyn Park Fire Department in northern Anne Arundel County, according to James M. (Mac) Connell, the county fire administrator.

Connell refused to comment on the case because it is a personnel matter.

The investigators are looking into whether the commander knew of the alleged conduct of the firefighters while it was occurring and took no immediate action, other official sources said.

The names of the three men, all of whom are married, were withheld because the department considers the investigation a personnel matter, officials said. All are veterans of the county's paid firefighting force.

According to the sources, who asked not to be named, the investigation centers on a woman in her 20s who reportedly entered the fire house in the early evening of Sept. 16 to ask directions. However, they say, she reportedly stayed for several hours and during that time participated voluntarily in sexual acts individually with the two firefighters. There is no evidence that she received money or that her appearance at the fire house had been previously arranged, said a source familiar with the investigation. Nor are there reports of additional incidents.

Each man, if found to have violated the rules, could receive an official reprimand, lose paid vacation time or wages, or be demoted or dismissed, according to county regulations.

The Brooklyn Park matter is the second time county firefighters have been investigated for sex-related violations. In the late 1970s, a number of firefighters were dismissed after having sex with a woman while on fake ambulance calls.