If the design already has a name on it - then you would need to remove the name first. You could either color over the existing name or put a colored box over it - whatever you are comfortable doing in your software.
There is no easy way for someone else to make text changes, without the layered file. And Photobucket does not have the capabilities to save a layered file.
Often, a designer has a blank version and then you can simply insert your name.
I hope this helps!