This is the only surviving recording of Virginia Woolf's voice. It is part of a BBC radio broadcast from April 29th, 1937. The talk was called "Craftsmanship" and was part of a series entitled "Words Fail Me".
Virginia Woolf grew up in the late Victorian era and her accent is quite different of what we are used to learning today. It is often referred to as High RP or more coloquially the Queen's English. Give it a try:
Source: The Dialect Blog.