One of my biggest literary pet peeves is when historical or history-inspired fiction pretends that "courting" is a synonym for "dating". Usually it's just a one-to-one word swap--in a modern context, these characters would be dating, but this is olden times, so they call it courting instead. Sometimes they'll pretend there's a shade of difference, and that courting is a more serious exploration of marriage or something. But I read a lot of fiction that was actually written during these historical eras, and the word "courting" is never used like that.
Two people do not decide that they are "courting". One person decides to "court" someone else. It's an action, not a stage in the relationship. A man decides to court a woman because he wants to encourage her to have romantic interest in him. He's trying to win her favor. It's not an exclusive relationship--a woman could be courted by multiple men at once. She'll spend time getting to know the guy who's interested in her, but they won't officially define their relationship as one where they only show romantic interest in each other. If they reach a point where they want it to be exclusive, that's when you propose.
There's no middle ground--either you're getting to know each other, or you're committed to marrying each other. This idea of a period where you kind of commit to each other until you decide you definitely want to get married is a modern one, and it occurs in eras where they use the word "dating" to describe it. The closest equivalent I can think of are times and places where they'd talk about a couple "stepping out together", but they're still not calling it "courting". Words have meaning, and the word "courting" has never meant that, so stop using it that way!