Hello again, @Ben Hizak  At the moment, there is no way to sort companies alphabetically, but I can definitely understand how it would be useful. So, I'm going to flag this as a feature request to bring it to our Product teams attention! Whenever we do release new features, we'll announce it on the Product Changes page(a lot come from feature requests like yours), so I'd recommend keeping an eye there.

In the meantime, you could export your Company data via a CSV in the UI, or via the List all companies REST API endpoint. You could then sort the data that way, then use it via the REST API to attach the appropriate company to your users and erase the companies no longer in use.

I thought a picture could help: