Someone once called this concept a "Redneck table centerpiece." :) It could be a Hillbilly vase for that matter. Or it's simply "Joe's Beer Garden" for a summertime outdoor beer garden/pub.
Beer Garden is a brand that could be used for an establishment that features an outdoor beer garden or an establishment that has a natural or environmental theme. This brand could be used for a number of areas, perhaps you have an idea? The name could also be changed to personalize the brand such as "Main Street Beer Garden" or "John's Beer Garden."
Maybe you can see this working for you in a completely different industry? Perhaps the symbol itself works for you?
Got another name to go with this symbol? No problem, I can make edits free of charge after purchase! Feel free to contact me.