Hey there @thomasa1980 - how are you today?
I'm afraid there's no way to change the name of a mobile device of yours and how it's shown on your account's security page from our end - I'll pass your suggestion on to the team though; thanks for your feedback!
In addition, sharing an account is something we don't recommend since sharing your Dropbox password with others violates the Dropbox Terms of Service.
Have you considered using two separate accounts to do this perhaps? In this way, you'll both be uploading your stuff to your own accounts. If you'd to share some stuff from there, you'll be able to do it via a shared folder. Read here for more info:
https://help.dropbox.com/files-folders/share/share-with-others
I know it's not optimal but this should help move forward with the task at hand.
Please keep me posted on your progress!
Walter
Community Moderator @ Dropbox
https://dropbox.com/support
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