Rosemarie is a compound of Rose (Latin rosa) and Marie — also evoking the herb rosemary (from the Latin ros marinus, "dew of the sea"). Braddock (the "Cinderella Man"). Rosemary's Baby (1968) — Roman Polanski's horror classic (though that character is "Rosemary").
Rosemarie 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 Rosemarie reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.