Noni is from the Welsh Noni — diminutive of Non from Latin nonna (nun) or Nonita. Noni is one of the Welsh feminine names — central to traditional Welsh Christian heritage. Non's Chapel + Holy Well at St. Welsh feminine name reflecting Celtic Christian heritage.
Noni 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.
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In Pythagorean numerology the letters of Noni reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.