No, the president's wife is always addressed as the "first lady" whilst the mayor's wife is addressed as Mrs or "madam".
The Wife of a Lord Mayor in the United Kingdom is properly and officially refereed to as a Lady Mayoress, citing the suffix -ess as applied for feminine titles in English. Many former British Colonies follow suit, such as in Australia. Similar to the designation "First Lady", the Lady Mayoress has a symbolic nature towards events and the nation in general towards the area she represents. When the Lord Mayor is female, she usually is not designated as the Lady Mayoress, but takes the title of Lord Mayor. There have been cases, however, of a female as Lord Mayor and her mother as Lord Mayoress, such as in Brisbane,UK. In America, no such designation is official, but it is still a recognized term for the wife or a lady holding the position of mayor, although is not very popular as an American designation.
mayor
Mayoress
Mayoress
Mayoress.
The feminine gender for mayor is "mayoress." In some regions, the term "mayor" is used for both male and female officeholders, while in others, "mayoress" specifically refers to a female mayor. The use of "mayoress" can vary depending on local customs and traditions.
John Emanuel Lightfoot, who was mayor of Accrington from 1878 to 1890.
The feminine form of mayor is mayoress. The feminine plural is mayoresses.
Mayoress. Used in Britain, but not much in North America.
Masculine The feminine eqiuvalents are mayoress, manageress and conductress
In writing, as 'Lord Mayor', perhaps surprisingly. The title Lady Mayoress is reserved only for the wife of a Lord Mayor. You should address a female Lord Mayor as "Madam Mayor" in conversation. It is considered impolite, certainly in public speaking, to address her just as 'mrs. Smith'.In writing an envelope, you use "Mrs. J.B. Smith, Lord Mayor of Portsmouth".
-ess can make certain titles into a feminine one. For example, Mayor and Baron become Mayoress and Baroness.