Lucretia is the feminine of the Roman gens name Lucretius — possibly from lucrum ("profit, gain") or lux ("light"). A top-200 US baby name in the 1880s. Featured on the 1979 Susan B. Lucretia Coffin — Lucretia Mott's birth name.
Lucretia 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 Lucretia reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.