Virginia Woolf was born in 1882 and committed suicide in 1941. She was a daughter of the distinguished British writer and historian Leslie Stephens. She was a member of a group known as the Bloomsbury set, consisting of generally upper class British intellectuals who lived and worked in the area of London known as Bloomsbury (an area in the neighbourhood of the British Museum).
Gertrude Stein was an expatriate American author living in Paris, and formed a circle mainly consisting of fellow Americans in Paris.
Although both writers were associated with (slightly different) forms of literary modernism, their social circles were somewhat different.