Pine is from the Old English pīn — the pine tree (the iconic evergreen conifer). Tyrone Pine — modern American figure. Pine, Arizona — Yavapai County.
Pine 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 Pine reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.