Yes in order for a mayor to be elected as mayor for the town or city they are running for mayor for the mayor must reside in and have a residence in the town or city they are gonna be mayor in.
The mayor needs to have an interest in the town or city they are running for mayor in and show what they plan to change for the city or town.
The people in the town or city then vote for the mayor they would like to have elected for the town or city.
Some places in major cities have official homes for mayors to live in if they want too but they are just modest homes and not mansions.
In some places such as Major Cities like New York City the Mayor position is a full time job and pays pretty good.
But in smaller towns that have a lower population of under 1,000 people the mayor position is usually a part time job and some mayors of small towns may only make $200.00 per month to $1,000.00 per month at most.
It depends on how wealthy the city or town is.
Being a mayor you need a high school diploma and some places require more than that to qualify to run for mayor.
You are then voted in as mayor through a vote of people in the town.
Being a mayor is a good thing but it's also a lot of headache as well.