After searching the forums and trying all the suggestions I have found that there isn't an edit selection to change the device name.
What do you mean? How it shows in your account? It shows based on how Verizon identifies the IMEI. If you brought a device and swapped your own SIM card, the system should, but may not update.
If you're referring to the instructions at # 3 at this link:
they are a bit confusing IMO.
If you're wanting to name your device in your My Verizon account, you're an Account Owner/Manager, and you're logged into the desktop version of My Verizon ... at the top of the page, hover over Devices and click Device Overview. Click the device you want to rename. Scroll down a bit and under Edit Device Nickname, click Edit.
My Verizon seems to work best with Microsoft Edge or Chrome.
We always want to provide the best assistance we can here. What type of phone do you have currently? Why were you looking to change the device's name? MichelleH_VZW