Kyoko is from the Japanese 京子 / 鏡子 (Kyōko — kyō capital/mirror + ko child — capital child, mirror child). Kyoko is one of the Japanese feminine names — central to traditional Japanese Imperial heritage.
Kyoko 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 Kyoko reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.