Doing genealogy like I have, same name do not mean same family, but it is helpful, follow the records, follow the graves, follow Marriage, Wills, birth, deaths, and land rights,
Forexample the parrish line it is all mixed up, very simular names, but not everyone is connected like people feel. People with the same name are not direct family like Elihu Parrish & Elihugh A Parrish, completely different families.
None of my Miller's repeat name's. They pass the first name down in the middle name. I don't know if that helps. you'll need the marriage, birth and death and millitary records some times to get the middle name.