What is a new settlement that keeps close ties to its homeland called?

A new settlement that keeps close ties to its homeland is called a colony.
In the olden times, England had many colonies, such as America, Australia, South African Republic, etc. which all kept close ties to their motherland which ruled over all of them.

Include the poem for more info but this is what i know about the goddess athena athena is a greek goddess of war and sprang from zeus head full grown in a full set of battle armor.