Greer is the Scottish contracted form of Gregor — from the Greek grēgorios (watchful, vigilant). Roosevelt. Greer Childers — American fitness celebrity. Reverend Greer — Murder, She Wrote recurring character.
Greer 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 Greer reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.