Batsheva is from the Hebrew bat (daughter) + sheva (oath/seven) — daughter of the oath. Bathsheba (c. 1000 BCE) was the biblical wife of King David and mother of King Solomon (2 Samuel 11-12, 1 Kings 1-2) — one of the queen mothers in biblical history. The Batsheva Dance Company (founded 1964 by Bethsabée de Rothschild and Martha Graham) is widely considered Israel's contemporary dance company — led by Ohad Naharin since 1990. figure in modern Israeli cultural identity.
Batsheva 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 Batsheva reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.