The videos were taken through a modified peephole while Andrews was undressed in hotel rooms in Nashville, Tenn. and Milwaukee in 2008.
Andrews filed the lawsuit Thursday in Cook County court in Chicago against Marriott International, Radisson Hotels International and other chains.
Also named was Michael David Barrett,. Andrews alleges Barrett called the hotels to determine if she made reservations. She claims the hotels confirmed she intended to register and revealed her room number.
The Marriott and the Radisson declined to comment.