A Lowball glass, also known as an Old Fashioned glass, is suited for serving the Ghost in the Graveyard cocktail because it is designed for drinks that are served over ice or those that are meant to be sipped and savored. The wide brim of the glass allows for the aroma of the ingredients to be appreciated fully, while its short stature makes it perfect for cocktails with a lower volume, ensuring that the drink remains cold and concentrated, enhancing the overall experience of this unique beverage.