Why Does Google Display My URL as "Bubba Head" and Not "https://bubbahead.com" on the MOBILE SERP?

For sure, I believe people in this industry are far more in tune with things like URLs, Title tags, meta descriptions, etc. Talk to a regular internet user and ask them to enter something into the address bar and they have no clue what you are talking about.

I do understand your concern; however, for those that do pay attention to those things, your unique name might cause some puzzlement vs. a name like "James Jones". Then again, the title tag along with the meta description underneath should clear up those concerns (assuming people actually read - BIG assumption!).

I'm sure there is a way to change that via schema markup, though. Admittedly, I do not handle the technical markup aspects of our websites and I could be totally wrong, but the line of code in the HEAD section that appears to be causing it is:

<meta property="og:site_name" content="William C. &quot;Bubba&quot; Head" />

The quotation marks around "Bubba" might be causing the issue in that line of code (&quote; is HTML markup for quotation marks)

I'm not sure where this is in your platform, which I think is WordPress, but I have a feeling the "site name" is somewhere in the Yoast SEO plugin. See if you can find it somewhere in there (or anywhere else - like the general settings) where you have put Bubba in quotes. If you find it, just leave that site name blank or put your URL there and it might fix the problem.