Florida Lt. Gov. Jennifer Carroll is speaking out about accusations she may have been romantically involved with a female aide.

In an interview with 10 News in Tampa Bay, Carroll says that black women who look like her "don't engage in relationships like that."

She also notes she's been married for 29 years and that her children and husband know "the type of woman I am."

The accusations are being made by former aide Carletha Cole, who was arrested last October on charges that she gave an illegally taped conversation with another Carroll aide to a newspaper reporter.

Cole contends in a court filing that she walked in on Carroll and a top female aide in a "compromising position" in Carroll's office.

Carroll has denied the accusations. On Sunday, Carroll's accuser requested that Carroll take a lie detector test, according to Florida News.

Cole claimed she was set up because she said she caught the lieutenant governor and her female travel aide, Beatriz Ramos, in a "compromising position."

According to the Florida Department of Law Enforcement, Ramos started a fire in Cole's trashcan after Ramos said she threw a partially smoked cigar in the garbage. FDLE conducted an arson investigation and ruled the fire an accident.

Channel 4 has obtained a letter claimed to be sent to the State Fire Marshal's Office that calls for an independent investigation and for "the Lieutenant Governor (to) voluntarily submit to a polygraph examination by an FBI polygrapher."

A spokeswoman says no such letter has been received by the Fire Marshal's Office.

Cole's attorneys are requesting the same for Ramos. The letter gives the State Fire Marshal's office until the end of Tuesday to respond.

If an investigation isn't launched by then, the FBI will be asked to intervene.

Late Monday afternoon, Florida's the Fire Marshal declined to take Cole's lawyer up on having Carroll take a polygraph test and further investigate the fire in the office.