Virginia is from the Latin virgo (maiden). Virginia Woolf (1882-1941) — the British modernist novelist whose Mrs Dalloway (1925), To the Lighthouse (1927), Orlando (1928), and The Waves (1931) reshaped 20th-century fiction; her extended essay A Room of One's Own (1929) declared that "a woman must have money and a room of her own if she is to write fiction" — among the texts of feminist criticism. The state of Virginia is named for Elizabeth I, the "Virgin Queen."
Subject of Stephen Daldry's The Hours (2002 film).
Virginia does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Virginia reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.