Bibiana (Vivian) is the Latin feminine of vivus (alive, lively). Saint Bibiana was the Roman virgin martyr (d. c. Her basilica on the Esquiline is among Rome's oldest.
In Mexico, popularly invoked against hangovers.
Bibiana 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 Bibiana reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.