Baylor is from the English surname Baylor — possibly from Old French bailli (bailiff). Baylor is one of the unisex modern American given names — rising in usage since the 2000s. Named after R. E. B. The Baylor College of Medicine in Houston is also a American medical institution.
Baylor 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 Baylor reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.