Brennan is from the Irish Ó Braonáin — braon (drop, sorrow) + án (diminutive). Eliot and Ezra Pound. William J. Brennan Jr.
Brennan 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 Brennan reduce to 5, The Seeker. This is a traditional interpretive system, not a factual claim about the name.