When I move the files to Dropbox it can't open them. Looking for a program to open
Tom, you may have to make some adjustments in order for e-Sword to know where these files are located. From the File Menu choose - Options > Resources. In this open window, revise the "Resources Location" and/or "User File Location" to match your Dropbox folder. You will also have to move any e-Sword Bible files, dictionaries, etc. to this same Dropbox folder so that e-Sword recognizes their location.
A word of warning, though. Depending on the setup, I've found that sharing e-Sword files across a network can cause severe lag within e-Sword itself.
May God bless...