Do you Capitalize "sir" and "Madam" in dialogue?

[nq:1]"Yes, I believe so, Madam." or "Yes, I believe so, madam?" "Yes, I believe you're correct, sir." or "Yes, I believe you're correct, Sir." The dialogue appears in a novel[/nq]
While there are few hard and fast rules, The Chicago Manual of Style (14th) says, at 7.27 ("Honorific Titles") , not so: the examples include "my lord", "sir", and "madam".

[nq:1]"Yes, I believe so, Madam." or "Yes, I believe so, madam?" "Yes, I believe you're correct, sir." or "Yes, I believe you're correct, Sir." The dialogue appears in a novel Riclanders Dot Comhttp://riclanders.com/[/nq]
I would not capitalise, for any title that I can think of

[nq:1]I would not capitalise, for any title that I can think of.[/nq]
Generally, if the title is associated with or used in place of a proper name, it would be capitalized; here are some examples from The Chicago :
General Eisenhower
President Buchanan
Prince Charles
Cardinal Newman

C. R. Dodwell, Fellow and Librarian of Trinity College
You did well, Captain, to a

[nq:2]I would not capitalise, for any title that I can think of.[/nq]
[nq:1]Generally, if the title is associated with or used in place of a proper name, it would be capitalized; here ... Park, Babe Ruth, Stonewall Jackson (arguably those are proper names), the Sun King, and a few others of that sort.[/nq]
A little confusing.
Ok, in my manuscript I talk of Kings, Queens, Princesses and