Cory (also Corie, Korey) is from the Irish surname Ó Comhraidhe ("descendant of Comhrad"), or as a diminutive of Cordelia or Corazón. Maria Corazón "Cory" Sumulong Cojuangco Aquino (1933-2009) was the 11th President of the Philippines (1986-1992) and the first female president in Asia. Led the People Power Revolution that peacefully overthrew Ferdinand Marcos, after her husband Senator Benigno Aquino was assassinated on his return from exile in 1983. Time magazine's Woman of the Year (1986); restored Philippine democracy after 21 years of authoritarian rule.
Subject of Carmen Pedrosa's Cory: Profile of a President (1987).
Cory 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 Cory reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.