Greenhouse’s TV and film credits included THE EDGE OF NIGHT, RYAN'S HOPE, THE DOCTORS AND THE NURSES, LAW & ORDER, The Stepford Wives and the original production of Rodgers and Hammerstein’s Cinderella. She appeared in many plays on and off Broadway, including "Summer Brave," "Dear Me," and Jose Quintero’s "Our Town."
In 1975 she played Mrs. Huber on RYAN'S HOPE, a tenant in a building with no heat or hot water than Frank Ryan helps.
Greenhouse joined AFRA (the radio-only predecessor of AFTRA) in 1941 and the Screen Actors Guild in 1955 and became deeply involved in union activities. Highlights of her service include five terms as the president of AFTRA’s New York Local, from 1977-1982, and two terms on SAG’s National Board, from 1981-1987.