Sharon is from the Hebrew Sharon — the fertile coastal plain between Mount Carmel and the Yarkon River in Israel. The Song of Solomon describes the beloved as "a rose of Sharon, a lily of the valleys" — the verse from which the name's modern use derives. Sharon Olds (born 1942) — Pulitzer-winning American poet.
Sharon 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 Sharon reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.