Shohreh is from the Persian شهره (Shohreh — famous, renowned, celebrated). Shohreh is one of the Persian feminine names — central to traditional Persian heritage. Persian feminine name reflecting Iranian-American cinema heritage.
Shohreh 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 Shohreh reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.