A "local branch" refers to a location or office of a larger organization, usually within a specific area or community. It is where the organization conducts its operations or provides services in a particular region.
You may find some local organizations and local branches of national organizations. (youtern.com)
Account to be opened in person at local branch with coupon. (creditdonkey.com)
Their website is user friendly, their phone service is excellent, locations work well for me as I still actually visit local branches once or twice a month. (biggerpockets.com)