I was once at a workshop where the speaker talked about how it can be difficult to pick out names for your characters. "I know people who have taken longer to name their characters than their kids!" he proclaimed. There was a lot of laughter and understanding nods.
I have done a lot of name research in my life. I own two name etymology books. Each longer story that I'm working on has lists and index cards full of name research - meanings, root words, etc. So now that it has come time for Jason and me to choose a name for our baby girl, I already have a lot in my mind as to what I like, what I don't like, meanings, and connotations.
When you're writing fiction, the sound and symbolism of a name can be important, but you can also get away with more in fiction that you can in real life:
https://www.iveyink.com/blog/2018/4/15/whats-in-a-name
https://www.iveyink.com/blog/2017/7/16/whats-in-the-spelling-of-a-name
Like an old Celtic name that no one can spell? Books often come with a pronunciation guide; your child's kindergarten class doesn't. Authors take care not to name to many of their characters Jon or Rob (unless they're George R R Martin); Jason and I both have been in many classes or work settings where we have been one of two or more people with the same name. Think a name sounds really bad-ass? Well that's all well and good, but if you name your kid Leonidas, he's gonna end up dying in a battle. (One of my university's founders, General Leonidas Polk, died at the Battle of Kennesaw.)
It's a lot to think about. Unlike naming a character, where if you decide later that it's not working, you just change it before publication, there comes a point where you're out of time on deciding on a name. (It may come as a surprise, but unless you're Nora Roberts or James Patterson, the amount of time between sitting down to begin a story and having said book published in much longer than pregnancy.) Plus, usually, you're the only one naming the character in your book. Most people naming a child are working with another person to choose a name (it's fortunate the Jason and I have similar tastes).