Altagracia is from the Spanish alta gracia (high grace, supreme grace) — referring to Nuestra Señora de la Altagracia (Our Lady of Highest Grace). Altagracia Domínguez — modern Dominican-American figure. Altagracia Salazar — Dominican journalist. Altagracia Rosario — modern Dominican-American figure. Princess Altagracia — Dominican heritage naming.
and Caribbean Catholic tradition.
Altagracia 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 Altagracia reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.