She and her husband, Noel, are residents of Seattle's Pioneer Square, a downtown historic district, and have four sons and four grandsons.

On March 1, 2009, Drago announced her intention to retire from the Seattle City Council and not seek another term.

As a councilmember, Drago played a leading role in the success of a mega-project, the deep-bore tunnel under downtown that replaced the Alaskan Way Viaduct; in the transformation of a major arterial—the two-way Mercer Street—that helped develop the South Lake Union neighborhood now home to Amazon headquarters; and the beginning of the Seattle Streetcar network.

She filled the seat left vacant by Dow Constantine's election as King County Executive.

[11] Drago was also a board member of the Mountains to Sound Greenway Trust, and was a member of the Seattle Art Museum Executive Board, Downtown Seattle Association, Washington Council on Crime and Delinquency, Denny Regrade Business Association and the Denny Regrade Crime Prevention Council (former president), the National Women's Political Caucus of Washington, and Washington State Democratic Party.