Hello shelbyweldon,
Thanks for using the Apple Support Communities! We understand you are looking for some help with changing the way the name of your iPhone looks when connecting to other devices. We are happy to provide some guidance.
You've done a good job so far with changing the name of your device in Settings so it shows up correctly in Finder. When you connect your iPhone to your Mac using Bluetooth, does it show a different name there? You can change the way the name of the device shows up when connecting it to other devices by following the steps listed in the following article, in the section titled "Rename a Bluetooth accessory on your Mac":
Change the name of a Bluetooth accessory
What other devices that you connect with does it show the name of your iPhone incorrectly? Are you able to change the way those Bluetooth devices remember the iPhone name?
Keep us updated on how it goes or if you have any questions. We hope this information helps.
Best Regards.