Josette is the French diminutive of Joséphine — from the Hebrew Yōsēph (God will add, He will increase). Josette Frank — American children's literature advocate. Josette Walmsley — modern British figure. Three's Company (1977-1984) character Janet Wood's name had French variants.
Josette 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 Josette reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.