Another former county executive is being offered a chance to serve in the administration of Maryland Gov. William Donald Schaefer.

Howard County Democrat Elizabeth Bobo, who narrowly lost her bid for a second term last month, has been asked to direct the state's housing insurance program.

Bobo, 46, has not decided whether to take the offer, according to Jacqueline H. Rogers, the state secretary of housing and community development.

If she accepts, Bobo would follow former Anne Arundel County executive James Lighthizer into the Democratic governor's administration.

Lighthizer, who was prohibited from running for reelection this year, was named transportation secretary this month. He turned down an offer to join a Baltimore law firm.

Bobo "told us she is considering a number of other opportunities in state government and will let us know soon," Rogers said.

Bobo could not be reached for comment.

Bobo said shortly after her loss to retired school administrator Charles I. Ecker (R) that she was considering job offers both in and out of government.

Her campaign treasurer, Steve Lee, said yesterday that Bobo has yet to announce where she will land.

"She's been weighing her options," he said.

Rogers said one of those options is director of the Maryland Housing Fund, the state agency that offers mortgage and credit insurance. With a staff of about 30, the program manages the insurance portfolios of more than $1 billion worth of property.

The program is one of the four divisions in the state Department of Housing and Community Development.

With her election in 1986, Bobo became the first woman in the state to be a county executive.

This year she lost by fewer than 450 votes in a race in which the outcome was not certain until absentee ballots were counted.

Before her four-year term as county executive, she served on the County Council for nine years. At the same time, the Columbia resident received a law degree.