I usually always use my name with towns, especially for permanent ones. c: On old towns I would sometimes put Madi, but I prefer my actual name, Madison, much more.
In a couple of my towns I use my real name, which is Laura. In one I named my mayor LauraMae which combines me with my late grandmother, and the other mayors are names of my ancestors. Some are combined if their names were short, such as MaudMae or MaeRose. One is after an aunt who passed away from leukemia in 1952 at the age of 2 1/2 named BettyAnn. I'm glad it fit!
So...sometimes yes and sometimes no. My main mayor is Ankhes, which has been a user name of mine for many, many years.
I used my real-life name, Lindsey, in Celadon. However, Chrome's layout is going to be rainbow-themed, so I decided to name my mayor Iris, who's the personification of a rainbow in Greek mythology.