Waverley is a variant spelling of Waverly, from an English place meaning meadow of quivering aspens.
Waverley 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 Waverley reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.