I am really lost with what you are stating ...
The CB Gallery plugin (I think) we are discussing here is a self contained gallery plugin for CB. It does not bridge with anything (so I cannot make sense with the bridge comment you made). Also, I have no idea what "After installation, I log into the front end, I changed the "My Details" menu name to "My profile". " has to do with the plugin or the problem.
It is obvious that you are mixing up this gallery plugin with something else - perhaps the gallery2 bridge?