Doris (Δωρίς) is a Greek name meaning either "gift" (from dōron) or "woman from Doris" (the Greek region). In mythology, Doris was an Oceanid — daughter of Oceanus and mother of the fifty Nereids.
Doris peaked at #6 in the U.S. in 1925. Doris Day (1922-2019) was the American actress and singer.
Doris 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 Doris reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.