Ailbhe is from the Irish Ailbhe — Old Irish ail rock + biu alive — living rock, white-strong. Ailbhe is one of the Irish unisex names — central to traditional Irish Gaelic Indigenous Goidelic Celtic heritage. 5th-c. Irish feminine name.
Ailbhe 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 Ailbhe reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.