Automatically Inserting the "Title" content in a module

I have a Drupal node module that combines the standard "node" DB table with additional information in a table that I've titled "persona". The module is named "persona".

I would like to automatically fill in the "Title" field in the Node table, but currently, there's no apparently way for me to automatically override the "Title" field that's created by default when you define the function "persona_form". I'm wondering if the following can be done without changing the actual Drupal core:

- Rename the "Title" label to something else
- Remove entirely the "Title" text field from appearing on the form
- Automatically insert the value "Title" field based on other parameters

Specifically, I want to be able to ensure that the "Title" is standardized among all nodes of type "Persona", and I want to ensure that this somehow reflects in the UI. I don't want users to type in a title, and then have the system automatically overwrite it behind the scenes.

If this can't be done, please let me know so I can submit a feature request for the system.

Thank you!

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Miscellaneous background information: I have a Drupal node module that I am writing that are used to manage Persona Sheets for a story-based role-playing game. Persona sheets describe a character that each user has to play the game with. There's some information that I required, such as "Character Name", "Character Age", and so forth that didn't fit in well with the existing Node table, so I created a Persona table with a node ID to store the extra information. What I want the title to say is "P-sheet: $character_name" where $character_name is the character name entered by the user.