I gave the fresh prince of bel-air backstory to a company director
Was the company director born in Bel-Air?
No, the director is a white boy and he's a fan of 90's R&B.
It might be funny to pretend that the director's backstory is that of a famous 90's sitcom star but it's better to just be upfront and honest when giving putting up everybody's personal details at work. You never know who might believe you and cause a huge misunderstanding.
People should just be themselves, it shouldn't matter.
Acting professional at work is expected. It's okay to still joke around as long as you find a proper time and place to do so.