The term 'Branch Union' can be broken down into two words: 'TWIG' and 'ARM'. TWIG is a four letter word meaning a thin, woody stem that grows from the trunk of a tree. ARM is a three letter word meaning a long, flexible part of the body that connects the shoulder to the hand. Together, these two words form the term 'Branch Union', which is a union of branches or twigs that are connected by an ARM. This term is often used to describe a group of people who are united in a common cause.