The situation you’re describing sounds like it could refer to several historical events during the American Revolutionary War, particularly battles that took place in Georgia. One notable example is the Siege of Savannah in 1779, where American and French forces attempted to regain control of the city from British occupation. While this specific siege was not a victory, there were other skirmishes and engagements in Georgia that did serve to boost morale among Patriot soldiers.
If you are referring to a specific battle or event that served as a morale booster and resulted in gaining supplies and supporters, please provide more details for a more focused answer. Generally, victories during the Revolutionary War often inspired more enlistments and support for the Patriot cause, especially in pivotal Southern battles like the Battle of Kaskaskia or the Battle of Cowpens.