She received numerous one-person shows, including at the Museum of Modern Art in New York, which holds some of her work in its permanent collection.
In 1987, critic Andy Grundberg noted in The New York Times, "In 1978 an exhibition of her dramatic still-life photographs of objects in her kitchen sink caused a sensation.
When one appeared on the cover of Artforum magazine, it was a signal that photography had arrived in the art world - complete with a marketplace to support it.
Groover and her husband, a painter and critic named Bruce Boice, left the United States and moved to Montpon-Ménestérol, France in 1991.
On this occasion, Groover purchased a larger camera and shifted her work from still-life photographs of everyday objects to photos of her surroundings in France, including landscapes, churches, and graveyards.