Yes, bring your saved character onto the stage.
In the Scene Manager double click on the character name and change it to what you want.
Save the character over the original one.
Then, whenever you place that character on the stage it will have that name.
If you place more than one of the same character it will append a number after the name.
You can change the names in the Scene Manager for each project if needed but will only be saved with the project.
Saving the character with a new name will keep that name with that copy of the character.
See my CTA Tutorials on the YouTube channel CTAStepByStep
Check out EZColors for CTA. The easy way to change Render Styled (RS) colors.