Solomiya (Соломія) is the Ukrainian form of Salome — from the Hebrew shalom (peace).
Solomiya Krushelnytska (1872-1952) was the great Ukrainian opera soprano — Toscanini's favored Madama Butterfly.
Solomiya 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 Solomiya reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.