Dropbox allows you to rename files or folders from the website, desktop app or the mobile app. You can rename shared folders, but this change will not reflect in the Dropbox of other members. To rename a shared photo folder on the Dropbox Website, Go to https://www.dropbox.com/ & sign in to your account. Browse and select the shared photo folder which you want to rename. Right-click on the folder and select 'Rename' option. If you want to rename a share photo folder from the 'Dropbox Desktop App', download and install desktop app on your computer. Browse and select the folder that you would like to rename. Wait for a second and re-click on the folder name to edit it. This is how you can rename or move a shared photo folder in Dropbox.