On marriage the wife takes the title of the husband - hence Diana, Princess of Wales, Sarah, Duchess of York, and Kate, Duchess of Cambridge. Wales, York, Cambridge being the titles of their spouses.
Where it gets complicated is second generation of past monarchs Prince Edward, Duke of Kent and Prince Michael of Kent are both grandchildren of King George V, but only the eldest son inherits the titles of the father, so Edward DoK's wife is HRH Duchess of Kent, while as Michael has no actual title, his wife is merely HRH Princess Michael of Kent.
The title of Prince of Wales follows the oldest son of the monarch and Heir Apparent, so Charles retains it untl he becomes King, when William receives it. If however, Charles predeceases Elizabeth II, William becomes Heir Apparent but Prince of Wales.
(It's actually a little more complicated than that.)
William becomes Heir Apparent but not Prince of Wales.
I imagine if they change the rules of succession to make the first born of Will and Kate heir apparent regardless of sex things will get even more complicated.
Do any of these sub-Monarch titles come with money or jewels or property?
Thanks for clarifying (as well as can be done). I agree, it certainly does seem complicated.