Genevieve is a feminine name. Its exact origin and therefore meaning is disputed. Some experts feel it is of French origin while others argue that it is derived from Old German meaning 'white wave'. Still others are convinced it is of Celtic origins meaning 'race of women'. It has many variations like Jenny, Gena, Jennie, Genavieve, Jenevieve, Geneva, Janeva Gina, Geneve, Genny, Genovera, Gennie, Genoveva, Genivieve, Geneveeve, Genevie and Genivee.In Christianity Saint Genevieve is the patron saint of the city of Paris. Her feast is celebrated on the third of January. She was a simple pious peasant girl from Nanterre in France. She shifted to Paris and stayed with her godmother Lutetia. In Paris her fame spread far and wide owing to her pious works of charity and her sacrificial adherence to a strict vegetarian diet. She is most revered for her contribution of repelling the invasion of Paris by the Attila the Hun. He went on to lay siege to Orleans instead.
There are some other answers which can be found here.