To quote your insurance

Insurance companies price their products by using a complex formula comprising of  

For a Homeowners Insurance Quote: 

-Full Names of the Insured's as it is, or will be, written on the deed and mortgage.

-Dates of Birth for the named Insured(s)

-Prior Address (Or current address if quoting a new purchase)

-Mortgagee Clause and Loan Number

-Current Policy (for homes with existing insurance)

-Bank Appraisal (for new purchases, if not waived by the bank)

For an Auto Insurance Quote:  

-Full names of all drivers and dates of birth

-Drivers License ID Numbers

-Garaging Address (Home Address)

-Year, Make and Models of each vehicle on the policy

-Vehicle ID numbers (VINs) of each vehicle on the policy

- Current Policy Liability Limits and deductibles (this is for comparisons purposes)

-Insurance companies typically run an MVR,  CLUE (Accident History) and Soft Credit Reports on drivers and named insured(s), for pricing and underwriting.

NOTE: Typically photos of the drivers licenses of all drivers and a copy of the current auto policy declaration pages will supply all of the above information.  The declaration pages are the first few pages of a policy that list drivers, vehicles and shows the liability limits and deductibles.