Bevelle ~ Foxxie (my common nickname)
Azura ~ Blu (Because Azura is my azure blue city)
Archades ~ Larsa (if you get the reference, ilu <3)
Elsweyr ~ Kat (again... reference. Again ilu if you get it)
I've never used my real name for my mayor's name. I currently have three towns, and my names are: Aeryn, Arlione, and Ti'ana.
I do use names that are personal to me for various reasons. Aeryn is the name of the main character in a book I'm writing. Arlione was the name of my smuggler when I played Knights of the Old Republic, and Ti'ana is the name of the main character in Myst: The Book of Ti'ana.
I actually don't like using my real name for any of my games. In every game, I'm not playing as myself but as some other person if that makes sense. My mayors names are laurel, North and Marietta.
Mayor Bell x (my sig is outdated as I rest my town)
I call her Bell as it was originally Bluebell but it didn't sound as nice (plus I felt like I had to make her home blue and I didn't want that).
She is called Bell as she very loud and bright. I mean she has her hair in pigtails and I can picture her having bells in the hair bands that jingles when she walks, like Isabelle's does. It just sounded really cute to me :>