Roxanne comes from the Persian Roshanak (روشنک) — meaning "little luminous one" or "dawn," from the root roshan (light). The historical Roxana was the wife of Alexander the Great.
Roxanne is the heroine of Edmond Rostand's Cyrano de Bergerac (1897) — Cyrano's beloved cousin.
Roxanne 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 Roxanne reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.