If I understood correctly, household fires are the most common emergency that Red Cross responds to. Keep in mind that although you may be preparing for a hurricane or another likely emergency in your area, that household fires are a danger to us all at any time.
A fireproof box can be purchased to include documents like wills, passports, birth certificates, and other important documents and identification. These are portable, so you can grab it if you need to evacuate. But, fireproof so that if you are unable to, these items should be protected. Different strengths and sizes are on the market. Research what you need. You may also want to include important pictures, family history information, or key contacts. Some small amount of emergency cash. Inventory of items owned–lists or pictures for insurance.
Other ideas for fireproofing documents include:
Store copies of important items and computer backups off site.
Use a bank safety deposit box
If you have other ideas, please submit them in a comment. I’d love to learn from you and help to pass it on.
Homeowners or Renters insurance may be able to insure you for replacement of most items. Take a moment to assess what is not replaceable and how to best protect that. Prevention including working fire alarms and extinguishers is always preferable to recovery.