A wave of vandalism continued to mar some of Washington’s more popular landmarks Monday with at least three more attractions spattered with green paint, and authorities announced the arrest of a woman near one of the incidents at Washington National Cathedral.

The latest crimes occurred three days after the Lincoln Memorial was hit in similar fashion. On Monday, the light-green paint was discovered on an organ in the cathedral’s Bethlehem Chapel, in the cathedral’s Children’s Chapel and on the granite base of a statue next to the Smithsonian Castle on the Mall.

D.C. police said Monday evening that they had charged Jiamei Tian, 58, whom they believe to be homeless, with one count of defacing property.

The mysterious markings on the statue of Abraham Lincoln blemished one of the country’s most visited attractions and an iconic symbol of freedom. In the cathedral, they tarnished what is widely known as the nation’s house of worship — and a building still under repair after an earthquake two years ago caused such severe damage that it closed for three months....