By clicking on the Customers menu then on Addresses, you will have access to the list of your customers' addresses (home, work, etc.).
You can edit them using the "Edit" button, or delete them altogether. If you click Edit, the page opens for you to make changes.
Some fields, however, require special care:
Customer email. This field is essential: if you are adding an address for an existing customer, you MUST identify this customer using her/his email address. Otherwise, PrestaShop will not know who to assign this address to.
Identification number. The national ID card number of this person, or a unique tax identification number. This field is of course optional.
Address alias. A short description, in order to help the customer choose the correct address: "Home", "Office", "Aunt Beth's", etc.
Other. Additional information that might be useful to the delivery driver.
Below the addresses list is the "Set required fields for this section" button. It opens a form where you can indicate if certain information is necessary or not by checking the appropriate boxes: this way, you can make it so fields such as "company" or "phone number" are mandatory when a customer is registering a new address on your shop.