In britain it has largely become a matter of taste and personal preference as to which of chairman, chairperson, or chair are used. Chairwoman would be unusual unless it were of an organisation … Most of the answers are missing the whole point of this question:

Having heard the phrase, faint heart never won fair lady for the third time in very short span, i'm determined to find out its origin. Unfortunately, when i google, i'm getting a bunch of low-q Ladies is the plural form of lady, so the apostrophe goes to the right - ladies'. If you are wondering why we don't write ladies's, it is because ladies is one of the exceptions, along with girls', parents', …