Lucinda is an elaborated form of Lucia — from the Latin lux ("light") — first coined by Cervantes in Don Quixote (1605) for the character Lucinda, and popularized in English literature thereafter. Lucinda Williams (born 1953) — American singer-songwriter; three Grammy Awards; her 1998 album Car Wheels on a Gravel Road won the Grammy for Best Contemporary Folk Album and is on Rolling Stone's 500 Greatest Albums of All Time; Time magazine named her "America's best songwriter" (2002); a figure in the Americana / alt-country movement.
Lucinda 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 Lucinda reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.