Yep and sometimes the name people know isn't the name that a CA will permit in a certificate. I have one of those. I'm known as a shortened version of my middle name, say Jack Quimby, but DigiCert and others insist that the cert be issued to Alphonse Jackson Quimby, Jr.
OK I'll just buy an LLC from a state that's cheap (never mind the paperwork) but that's no good either because the new entity had no listed phone number...
When I bought code signing certificate for my LLC, in their infinite wisdom CA put "Spółka z ograniczoną odpowiedzialnością" as CN, because that's what they saw on proof of ownership. "Spółka z ograniczoną odpowiedzialnością" literally means "Limited liability company" in Polish.