Brunhild is from the Old Norse / Germanic Brynhildr — bryn armor + hildr battle — armored warrior, battle-maiden. Brunhild is one of the Germanic-Norse feminine names — central to traditional Norse-Germanic mythological heritage. Brünnhilde is the Norse Valkyrie central character of Völsunga saga (13th c.) Nibelungenlied ( Middle High German epic c. Norse feminine name reflecting Germanic-Norse mythological heritage.
Brunhild is a compound name. Its parts are hild — each an attested element with a recorded meaning of its own.
Brunhild 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 Brunhild reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.