There are a lot of Dachshunds, Golden Retrievers and Labrador Retrievers named Molly. It is an old Irish name that is translated into English as Mary. The meaning of the name is star of the sea. Molly is a name that rolls off the tongue easily and it’s really cute. It is one of the more popular names for female dogs today. There are a high number of Irish immigrant families in the United States today and in addition, many who were born here from immigrant parents or grandparents. Naming a dog Molly is also in keeping with the Irish tradition by keeping the name of your pet Celtic in origin, just as many people name their children and other pets names from the country of their ancestors.