Like, a "ladies' club" is normally understood to mean an informal, non-commercial social group for women, like a book club or a charitable organization. But a "gentlemen's club" is understood to be a business that features alcohol and strippers.
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The plural possessive is "ladies'." "Lady" is singular, so if you were referring solely to one woman's shoes, it would be "the lady's shoes." As for your second question, I'm assuming you're referring to a group of women in your salutation of them, so it would be "Good morning, ladies." And as you're addressing them directly, the comma preceding "ladies" is necessary.
Hence, there is no ambiguity with the men, and for the same reason no ambiguity with the ladies. 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', players', weeks' and even Klingons'
Ladies Captain means the Captain responsible for Ladies Golf elected to represent the Lady Members at Club and County level and to fulfil [sic] any requirements of the relevant Golf Association.