Propagating contacts of new address field in an Account

Propagating contacts of new address field in an Account

I have added an Area field to an Account's address to cater for addresses like this:

The Old Workshop
Eaglewood Park
Ilminster
Somerset
TA19 9DQ
United Kingdom

A corresponding field exists as Billing Area and Shipping Area in Account records and as Mailing Area and Other Area in Contact records.

But how do I propagate the contents of the Billing Area field? When I press the button on the Account screen to copy Billing address to Shipping addres, it copies the standard fields and misses the new field.

And when I create a Contact for the Account, it copies the standard address fields, not the new ones.

Many thanks

Steve