Inese is from the Latvian Inese — Latvian rendition of Agnes — from the Greek Hagne (pure, holy). Inese is one of the Latvian feminine names.
Inese 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 Inese reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.