Lady Macbeth wants to substitute her milk (which would nourish a kid) for gall, which today would mean boldness and impertinence, but also refers to bile (Merriam-Webster). So here, too, the milk is too kind, too nourishing, and so it must be switched for something more murderous so that she can physically and mentally go through with murder. Ladies is the plural form of lady, so the apostrophe goes to the right - ladies'.

Understanding the Context

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' It can get a bit niggly with names too. Aristophanes' plays, but Jesus's miracles and (usually) James ... Some websites have a different version: 23 and me punctuates it "lady, wife, mistress of a household". Both that and the OP's link reference Dictionary of American Family Names, 2nd edition, Oxford University Press, 2022, which should be your first port of call for accurate details and more information.

Key Insights

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