Woocommerce save multiple shipping address

Hi,
I want user to be able save their shipping addresses with a address name on checkout page, when user choose create new from drop-down on checkout page or user can choose previously saved addresses from drop-down which automatically fill in shipping address fields.

I have googled a lot and found absolutely nothing but a plugin which does not serve the purpose. I went through the woocommerce documentation but not able to figure out. I am actually overwhelmed by it and feeling lost.

Please help me guys and at least point me somewhere. This is a very common feature in a lots of website nowadays and I am sure it can be done.