No lady is ever, except to the President of the United States, a cardinal, or a reigning sovereign, presented to a man.  The correct introduction of either a man or woman: 

To the President,

is,

    “Mr. President, I have the honor to present Mrs. Jones, of
    Chicago.”

To a Cardinal,

is,

    “Your Eminence, may I present Mrs. Jones?”

To a King: 

Much formality of presenting names on lists is gone through beforehand; at the actual presentation an “accepted” name is repeated from functionary to equerry and nothing is said to the King or Queen except:  “Mrs. Jones.”

But a Foreign Ambassador is presented, “Mr. Ambassador, may I present you to Mrs. Jones.”

Very few people in polite society are introduced by their formal titles.  A hostess says, “Mrs. Jones, may I present the Duke of Overthere?” or “Lord Blank?”; never “his Grace” or “his Lordship.”  The Honorable is merely Mr. Lordson, or Mr. Holdoffice.  A doctor, a judge, a bishop, are addressed and introduced by their titles.  The clergy are usually Mister unless they formally hold the title of Doctor, or Dean, or Canon.  A Catholic priest is “Father Kelly.”  A senator is always introduced as Senator, whether he is still in office or not.  But the President of the United States, once he is out of office, is merely “Mr.” and not “Ex-president.”

=The prevailing introduction and inflection=

In the briefer form of introduction commonly used,

    “Mrs. Worldly, Mrs. Norman,”

if the two names are said in the same tone of voice it is not apparent who is introduced to whom; but by accentuating the more important person’s name, it can be made as clear as though the words “May I present” had been used.

The more important name is said with a slightly rising inflection, the secondary as a mere statement of fact.  For instance, suppose you say, “Are you there?” and then “It is raining!” Use the same inflection exactly and say, “Mrs. Worldly?”—­“Mrs. Younger!”

    Are you there?—­It is raining! 
    Mrs. Worldly?—­Mrs. Younger!

The unmarried lady is presented to the married one, unless the latter is very much the younger.  As a matter of fact, in introducing two ladies to each other or one gentleman to another, no distinction is made.  “Mrs. Smith; Mrs. Norman.”  “Mr. Brown; Mr. Green.”

The inflection is: 

    I think—­it’s going to rain! 
    Mrs. Smith—­Mrs. Norman!

A man is also often introduced, “Mrs. Worldly?  Mr. Norman!” But to a very distinguished man, a mother would say: 

    “Mr. Edison—­My daughter, Mary!”

To a young man, however, she should say, “Mr. Struthers, have you met my daughter?” If the daughter is married, she should have added, “My daughter, Mrs. Smartlington.”  The daughter’s name is omitted because it is extremely bad taste (except in the South) to call her daughter “Miss Mary” to any one but a servant, and on the other hand she should not present a young man to “Mary.”  The young man can easily find out her name afterward.