Price is the Anglicized form of the Welsh ap Rhys (son of Rhys — meaning ardor or enthusiasm). Cecil Price — multiple American figures. Pricewaterhousecoopers (PwC) — major American accounting firm. The price of fame — English idiom. Price Mountain — Virginia. Reynolds Price — American novelist.
Price 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 Price reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.